Tentukan Nilai yang Tepat cos(-60 derajat ) Step 1. Terapkan sudut acuan dengan mencari sudut dengan nilai-nilai-trigonometri yang setara di kuadran pertama.Learn to find the sine, cosine, and tangent of 45-45-90 triangles and also 30-60-90 triangles. Until now, we have used the calculator to evaluate the sine, cosine, and tangent of an angle. However, it is possible to evaluate the trig functions for certain angles without using a calculator.Solve (sin x - cos x) = 0. Ans: 4π and 45π Explanation: Use trig identity: sinx−cosx= 2sin(x− 4π) ... How do you write the trigonometric form into a complex number in standard form 7(cos 0 + isin0) ? 7 or 7+0i Explanation: Begin by evaluating the trigonometric part inside the bracket. Reminder (∣(aa)(cos0 = 1 and sin0 = 0)(aa)∣) ...Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.Sin 60 = √3/2. Sin 90 = 1. Fact: The values sin 30 and cos 60 are equal. Sin 30 = Cos 60 = ½. And. Cosec 30 = 1/Sin 30. Cosec 30 = 1/(½) Cosec 30 = 2. Derivation to Find the Sin 30 value (Geometrically) Let us now calculate the sin 30 value. Consider an equilateral triangle ABC. Since each angle in an equilateral triangle is 60°, thereforeLearn and revise trigonometric ratios of sine, cosine and tangent and calculate angles and lengths in right-angled triangles with GCSE Bitesize AQA Maths. ... [\cos{60} = \frac{1}{2}\] Firstly, we choose the cosine, i.e., cos (x) \cos(x) cos (x), from the list. Once we have that, we move to the variable field below, which contains the angle. We input 45 ° 45\degree 45° from our problem, and the moment we do that, the cofunction calculator will spit out the answer underneath: the cofunction along with the value.Click here👆to get an answer to your question ️ Solve cos A . cos (60 + A). cos (60 - A) = 14cos 3AWhat is tan 30 using the unit circle? tan 30° = 1/√3. To find this answer on the unit circle, we start by finding the sin and cos values as the y-coordinate and x-coordinate, respectively: sin 30° = 1/2 and cos 30° = √3/2. Now use the formula. Recall that tan 30° = sin 30° / cos 30° = (1/2) / (√3/2) = 1/√3, as claimed.Sine and cosine are written using functional notation with the abbreviations sin and cos. Often, if the argument is simple enough, the function value will be written without parentheses, as sin θ rather than as sin(θ). Each of sine and cosine is a function of an angle, which is usually expressed in terms of radians or degrees. Except where ...cos (135) cos ( 135) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the second quadrant. −cos(45) - cos ( 45) The exact value of cos(45) cos ( 45) is √2 2 2 2. − √2 2 - 2 2. The result can be shown in multiple forms. Tentukan Nilai yang Tepat cos(60 derajat ) Step 1. Nilai eksak dari adalah . Step 2. Hasilnya dapat ditampilkan dalam beberapa bentuk. Bentuk Eksak: Bentuk Desimal:Mar 26, 2017 · cos( − 600). first convert 600 in radians just for the sake of convenience of problem solving in trigonometry. since π radian = 1800 ⇒ 600 = ( π 3)radians. now, since cos( − θ) = cosθ , so, cos( − π 3) = cos( π 3) = 1 2 (a standard value and should be memorised) Answer link. The displacement h (t), h (t), in centimeters, of a mass suspended by a spring is modeled by the function h (t) = −5 cos (60 π t), h (t) = −5 cos (60 π t), where t t is measured in seconds. Find the amplitude, period, and frequency of this displacement.An interesting trigonometry problem -- featuring roots of unity. YouTube Basic trigonometry | Basic trigonometry | Trigonometry | Khan Academy YouTube More Videos (sin(x))2 ⋅ ((cot(x))2 + 1) cos(π) tan(x) cos(3x + π) = 0.5 cot(x)sec(x) sin(x)Free trigonometric function calculator - evaluate trigonometric functions step-by-step Sam pulls with 200 Newtons of force at 60° Alex pulls with 120 Newtons of force at 45° as shown; What is the combined force, and its direction? Let us add the two vectors head to tail: First convert from polar to Cartesian (to 2 decimals): Sam's Vector: x = r × cos( θ) = 200 × cos(60°) = 200 × 0.5 = 100 tan(60 degrees ) 17: Find the Exact Value: sec(30 degrees ) 18: Find the Exact Value: cos(60 degrees ) 19: Find the Exact Value: cos(150) 20: Find the Exact Value: sin(60) 21: Find the Exact Value: cos(pi/2) 22: Find the Exact Value: tan(45 degrees ) 23: Find the Exact Value: arctan(- square root of 3) 24: Find the Exact Value: csc(60 degrees ...cos 60° = √ (1/4) = 1/2. cos 90° = √ (0/4) = 0. Since, we know the sin and cos value of the standard angles from the trigonometrical ratios table; therefore we can easily find the values of the other trigonometrical ratios of the standard angles. The tangent of the standard angles 0°, 30°, 45°, 60° and 90°: tan 0° = 0. tan 30 ...Aug 15, 2015 · How do you find the exact functional value cos(60˚+45˚) using the cosine sum or difference identity? tan(60 degrees ) 17: Find the Exact Value: sec(30 degrees ) 18: Find the Exact Value: cos(60 degrees ) 19: Find the Exact Value: cos(150) 20: Find the Exact Value: sin(60) 21: Find the Exact Value: cos(pi/2) 22: Find the Exact Value: tan(45 degrees ) 23: Find the Exact Value: arctan(- square root of 3) 24: Find the Exact Value: csc(60 degrees ...Aug 23, 2012 · I have noticed that students cannot actually remember values of six trigonometric ratios (sin, cos, tan, cosec, sec and cot) for 0. , 30. , 45. , 60. and 90. . These values are used very often and it is recommended from my point of view that student should be able to tell the values instantly when asked. There is a proper method to memorize all ... The cosine function is an even function because cos (− θ) = cos θ. cos (− θ) = cos θ. For example, consider corresponding inputs π 4 π 4 and − π 4. − π 4. The output of cos (π 4) cos (π 4) is the same as the output of cos (− π 4). cos (− π 4). Thus,Aug 14, 2023 · What is tan 30 using the unit circle? tan 30° = 1/√3. To find this answer on the unit circle, we start by finding the sin and cos values as the y-coordinate and x-coordinate, respectively: sin 30° = 1/2 and cos 30° = √3/2. Now use the formula. Recall that tan 30° = sin 30° / cos 30° = (1/2) / (√3/2) = 1/√3, as claimed. Maths NCERT Solutions Class 10 Chapter 8 Exercise 8.2 Question 1. Summary: For the following problems: (i) sin 60° cos 30° + sin 30° cos 60° = 1, (ii) 2 tan² 45° + cos² 30° - sin² 60° = 2, (iii) cos 45°/ (sec 30° + cosec 30°) = (3√2 - √6)/8, (iv) (sin 30° + tan 45° - cosec 60°)/ (sec 30° + cos 60° + cot 45°) = (43 - 24√ ...Jul 21, 2023 · cos theta cos (60^(@) + theta ) * cos (60^(@) - theta ) = Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP Board, Bihar Board, Rajasthan Board, MP Board, Telangana Board etc The displacement h (t), h (t), in centimeters, of a mass suspended by a spring is modeled by the function h (t) = −5 cos (60 π t), h (t) = −5 cos (60 π t), where t t is measured in seconds. Find the amplitude, period, and frequency of this displacement.Aug 23, 2012 · I have noticed that students cannot actually remember values of six trigonometric ratios (sin, cos, tan, cosec, sec and cot) for 0. , 30. , 45. , 60. and 90. . These values are used very often and it is recommended from my point of view that student should be able to tell the values instantly when asked. There is a proper method to memorize all ... Maths Math Article Trigonometric Functions Value Of Cos 60 Value of cos 60 The value of cos 60 is 1/2. Trigonometry is used to study the measurements of right-angled triangles that deals with the parameters such as length, height and angles of the triangle. It has an enormous application in the real world. Aug 31, 2023 · How to find the Value of Cos 60? You can represent the value of cos 60 degrees in terms of different angles like 0°, 90°, 180°, 270°. You can also represent it with the help of several other trigonometric sine functions. Consider the unit circle in a cartesian plane as given below. The cartesian plane can be divided into four quadrants. Free math problem solver answers your trigonometry homework questions with step-by-step explanations.Mar 26, 2017 · cos( − 600). first convert 600 in radians just for the sake of convenience of problem solving in trigonometry. since π radian = 1800 ⇒ 600 = ( π 3)radians. now, since cos( − θ) = cosθ , so, cos( − π 3) = cos( π 3) = 1 2 (a standard value and should be memorised) Answer link. Jun 5, 2023 · Firstly, we choose the cosine, i.e., cos (x) \cos(x) cos (x), from the list. Once we have that, we move to the variable field below, which contains the angle. We input 45 ° 45\degree 45° from our problem, and the moment we do that, the cofunction calculator will spit out the answer underneath: the cofunction along with the value. The three main functions in trigonometry are Sine, Cosine and Tangent. They are just the length of one side divided by another. For a right triangle with an angle θ : Sine Function: sin (θ) = Opposite / Hypotenuse. Cosine Function: cos (θ) = Adjacent / Hypotenuse. Tangent Function: tan (θ) = Opposite / Adjacent. From the above equations, we get sin 60 degrees exact value as √3/2. In the same way, we can find the values for cos and tan ratios. Therefore, the exact value of sin 60 degrees is √3/2. Cos 0° = Sin 90° = 1. Cos 30°= Sin 60° = √3/2. Cos 45° = Sin 45° = 1/√2. Cos 60° = Sin 30° =1/2. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. In this video, we learn to find the value of cos(-60). Here I have applied cos(-x) = cos(x) identity to find the value of cosine of -60 degree. The URL of th...Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Statement: Tangent and cotangent are cofunctions because tan(θ) = 1.2 t a n ( θ) = 1.2 and cot(90 − θ) = 1.2 c o t ( 90 − θ) = 1.2. Problem 4. Write the expression cos(80) c o s ( 80) as the function of an acute angle of measure less than 45∘ 45 ∘ . Problem 5. Write the expression cos(210) c o s ( 210) as the function of an acute ...The value is sqrt3/2. You can do each calculation separately and do all the math, or you can recognize the angle difference formula for cosine: cos(A-B)=cosAxxcosB+sinAxxsinB In this case, A is 60^@ and B is 30^@.Free trigonometric simplification calculator - Simplify trigonometric expressions to their simplest form step-by-stepSolve (sin x - cos x) = 0. Ans: 4π and 45π Explanation: Use trig identity: sinx−cosx= 2sin(x− 4π) ... How do you write the trigonometric form into a complex number in standard form 7(cos 0 + isin0) ? 7 or 7+0i Explanation: Begin by evaluating the trigonometric part inside the bracket. Reminder (∣(aa)(cos0 = 1 and sin0 = 0)(aa)∣) ...The value of Cos 60 degrees is . Right-angled triangle measurements are studied using trigonometry, which deals with the triangle's length, height, and angles. The trigonometric sine functions as well as additional angles such as 0°, 90°, 180°, and 270° can be used to express the value of cos 60 degrees.Free trigonometric function calculator - evaluate trigonometric functions step-by-stepMar 26, 2017 · cos( − 600). first convert 600 in radians just for the sake of convenience of problem solving in trigonometry. since π radian = 1800 ⇒ 600 = ( π 3)radians. now, since cos( − θ) = cosθ , so, cos( − π 3) = cos( π 3) = 1 2 (a standard value and should be memorised) Answer link. Cos 25 degrees is the value of cosine trigonometric function for an angle equal to 25 degrees. The value of cos 25° is 0.9063 (approx) How to Find Cos 25° in Terms of Other Trigonometric Functions? Using trigonometry formula, the value of cos 25° can be given in terms of other trigonometric functions as: ± √(1-sin²(25°))In this video, we learn to find the value of cos(-60). Here I have applied cos(-x) = cos(x) identity to find the value of cosine of -60 degree. The URL of th...Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Explanation: Imagine the unit circle: We know that 300∘ is in the fourth quadrant, where cosine is positive. 300∘ has a reference angle of 60∘, since it is 60∘ away from the x -axis. Since cos(60∘) = 1 2, we know that cos(300∘) = 1 2 as well since cos(θ) > 0 in the fourth quadrant. Answer link.Learn and revise trigonometric ratios of sine, cosine and tangent and calculate angles and lengths in right-angled triangles with GCSE Bitesize AQA Maths. ... [\cos{60} = \frac{1}{2}\] Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It uses functions such as sine, cosine, and tangent to describe the ratios of the sides of a right triangle based on its angles.The value of Cos 60 degrees is . Right-angled triangle measurements are studied using trigonometry, which deals with the triangle's length, height, and angles. The trigonometric sine functions as well as additional angles such as 0°, 90°, 180°, and 270° can be used to express the value of cos 60 degrees.What is tan 30 using the unit circle? tan 30° = 1/√3. To find this answer on the unit circle, we start by finding the sin and cos values as the y-coordinate and x-coordinate, respectively: sin 30° = 1/2 and cos 30° = √3/2. Now use the formula. Recall that tan 30° = sin 30° / cos 30° = (1/2) / (√3/2) = 1/√3, as claimed.The displacement h (t), h (t), in centimeters, of a mass suspended by a spring is modeled by the function h (t) = −5 cos (60 π t), h (t) = −5 cos (60 π t), where t t is measured in seconds. Find the amplitude, period, and frequency of this displacement. \begin{equation} \cos^2 \theta_x + \cos^2 \theta_y +\cos^2 \theta_z = 1\tag{2.5.3} \end{equation} This page titled 2.5: Unit Vectors is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Daniel W. Baker and William Haynes ( Engineeringstatics ) via source content that was edited to the style and standards of the ...Statement: Tangent and cotangent are cofunctions because tan(θ) = 1.2 t a n ( θ) = 1.2 and cot(90 − θ) = 1.2 c o t ( 90 − θ) = 1.2. Problem 4. Write the expression cos(80) c o s ( 80) as the function of an acute angle of measure less than 45∘ 45 ∘ . Problem 5. Write the expression cos(210) c o s ( 210) as the function of an acute ... May 8, 2015 · 240^o has a reference angle of 60^o as indicated in the image below. A 60^o angle is a basic angle from one of the common triangles: From their definitions: sin(240^o) = -sqrt(3)/2 cos(240^o) = -1/2 tan(240^o) = sqrt(3) csc(240^o) = - 2/sqrt(3) sec(240^o) = -2 cot(240^o) = 1/sqrt(3) May 29, 2023 · For memorising cos 0°, cos 30°, cos 45°, cos 60° and cos 90°. Cos is the opposite of sin. We should learn it like. cos 0° = sin 90° = 1. cos 30° = sin 60° = √3/2. cos 45° = sin 45° = 1/√2. cos 60° = sin 30° = 1/2. cos 90° = sin 0° = 0. So, for cos, it will be like. Learn and revise trigonometric ratios of sine, cosine and tangent and calculate angles and lengths in right-angled triangles with GCSE Bitesize AQA Maths. ... [\cos{60} = \frac{1}{2}\] Cos 30° = √3/2 is an irrational number and equals to 0.8660254037 (decimal form). Therefore, the exact value of cos 30 degrees is written as 0.8660 approx. √3/2 is the value of Cos 30° which is a trigonometric ratio or trigonometric function of a particular angle. Cos 30. Another alternative form of Cos 30° is pi/6 or π/6 or Cos 33 (⅓) g Calculate cos(60)° Determine quadrant: Since 0 ≤ 60 ≤ 90 degrees it is in Quadrant I sin, cos and tan are positive. Determine angle type: 60 90°, so it is acute cos(60) = 1/2Oct 26, 2020 · Answer of given expression is sin(-60°) What is Trigonometric functions? Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle. Given expression, sin(20°)cos(80°) – cos(20°)sin(80°) ∵ sin(A-B) = sinA.cosB – cosA.sinB. ∴ sin(20°-80°) So, sin(-60°) Oct 26, 2020 · Answer of given expression is sin(-60°) What is Trigonometric functions? Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle. Given expression, sin(20°)cos(80°) – cos(20°)sin(80°) ∵ sin(A-B) = sinA.cosB – cosA.sinB. ∴ sin(20°-80°) So, sin(-60°) The Cosine function ( cos (x) ) The cosine is a trigonometric function of an angle, usually defined for acute angles within a right-angled triangle as the ratio of the length of the adjacent side to the hypotenuse. It is the complement to the sine. In the illustration below, cos (α) = b/c and cos (β) = a/c.Free trigonometric simplification calculator - Simplify trigonometric expressions to their simplest form step-by-stepLearn to find the sine, cosine, and tangent of 45-45-90 triangles and also 30-60-90 triangles. Until now, we have used the calculator to evaluate the sine, cosine, and tangent of an angle. However, it is possible to evaluate the trig functions for certain angles without using a calculator. Trigonometry. Find the Exact Value cos (60 degrees ) Step 1. The exact value of is . Step 2. The result can be shown in multiple forms. Exact Form:double cos (double x); float cosf (float x);long double cosl (long double x); ... The cosine of 60.000000 degrees is 0.500000. See also sin Compute sine (function) tanIn this video, we learn to find the value of cos(-60). Here I have applied cos(-x) = cos(x) identity to find the value of cosine of -60 degree. The URL of th...Cos 25 degrees is the value of cosine trigonometric function for an angle equal to 25 degrees. The value of cos 25° is 0.9063 (approx) How to Find Cos 25° in Terms of Other Trigonometric Functions? Using trigonometry formula, the value of cos 25° can be given in terms of other trigonometric functions as: ± √(1-sin²(25°))\begin{equation} \cos^2 \theta_x + \cos^2 \theta_y +\cos^2 \theta_z = 1\tag{2.5.3} \end{equation} This page titled 2.5: Unit Vectors is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Daniel W. Baker and William Haynes ( Engineeringstatics ) via source content that was edited to the style and standards of the ...Since the cosine function is a periodic function, we can represent cos 135° as, cos 135 degrees = cos(135° + n × 360°), n ∈ Z. ⇒ cos 135° = cos 495° = cos 855°, and so on. Note: Since, cosine is an even function , the value of cos(-135°) = cos(135°). Trigonometry Ratios-Sine, Cosine, Tangent. The trigonometric ratios of a triangle are also called the trigonometric functions. Sine, cosine, and tangent are 3 important trigonometric functions and are abbreviated as sin, cos and tan. Let us see how are these ratios or functions, evaluated in case of a right-angled triangle.Free trigonometric simplification calculator - Simplify trigonometric expressions to their simplest form step-by-stepAug 23, 2012 · I have noticed that students cannot actually remember values of six trigonometric ratios (sin, cos, tan, cosec, sec and cot) for 0. , 30. , 45. , 60. and 90. . These values are used very often and it is recommended from my point of view that student should be able to tell the values instantly when asked. There is a proper method to memorize all ... \begin{equation} \cos^2 \theta_x + \cos^2 \theta_y +\cos^2 \theta_z = 1\tag{2.5.3} \end{equation} This page titled 2.5: Unit Vectors is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Daniel W. Baker and William Haynes ( Engineeringstatics ) via source content that was edited to the style and standards of the ... Question 1) Give a short derivation of cos 60 degree. Solution) Let us consider a right- angled triangle with one angle as 60°. The other two angles of the triangle are 90°,30° . For a triangle with angles 60°,90°,30° the sides are always in the ratio 1: 2: 3–√ 3. In a right –angled triangle,cos (135) cos ( 135) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the second quadrant. −cos(45) - cos ( 45) The exact value of cos(45) cos ( 45) is √2 2 2 2. − √2 2 - 2 2. The result can be shown in multiple forms. Definition of cosine The cosine of an angle is defined as the sine of the complementary angle. The complementary angle equals the given angle subtracted from a right angle, 90°. For instance, if the angle is 30°, then its complement is 60°. Generally, for any angle θ, cos θ = sin (90° – θ).Free trigonometric simplification calculator - Simplify trigonometric expressions to their simplest form step-by-step Q. Evaluate sin60∘ cos30∘ +cos60∘sin30∘. Q. Evaluate each of the following. sin 60 cos 30° + cos 60° sin 30°. Q. Find the values of -. (i) 5 sin 30 ° + 3 tan 45 ° (ii) 4 5 tan 2 60 ° + 3 sin 2 60 ° (iii) 2sin 30 ° + cos 0 ° + 3sin 90°. (iv) tan 60 sin 60 + cos 60 (v) cos 2 45 ° + sin 2 30 ° (vi) cos 60 ° × cos 30 ° + sin ...
Free trigonometric simplification calculator - Simplify trigonometric expressions to their simplest form step-by-step. Byps
Cos 30° = √3/2 is an irrational number and equals to 0.8660254037 (decimal form). Therefore, the exact value of cos 30 degrees is written as 0.8660 approx. √3/2 is the value of Cos 30° which is a trigonometric ratio or trigonometric function of a particular angle. Cos 30. Another alternative form of Cos 30° is pi/6 or π/6 or Cos 33 (⅓) gFree trigonometric simplification calculator - Simplify trigonometric expressions to their simplest form step-by-step Free trigonometric simplification calculator - Simplify trigonometric expressions to their simplest form step-by-stepOct 26, 2020 · Answer of given expression is sin(-60°) What is Trigonometric functions? Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle. Given expression, sin(20°)cos(80°) – cos(20°)sin(80°) ∵ sin(A-B) = sinA.cosB – cosA.sinB. ∴ sin(20°-80°) So, sin(-60°) From the above equations, we get sin 60 degrees exact value as √3/2. In the same way, we can find the values for cos and tan ratios. Therefore, the exact value of sin 60 degrees is √3/2. Cos 0° = Sin 90° = 1. Cos 30°= Sin 60° = √3/2. Cos 45° = Sin 45° = 1/√2. Cos 60° = Sin 30° =1/2.Solve (sin x - cos x) = 0. Ans: 4π and 45π Explanation: Use trig identity: sinx−cosx= 2sin(x− 4π) ... How do you write the trigonometric form into a complex number in standard form 7(cos 0 + isin0) ? 7 or 7+0i Explanation: Begin by evaluating the trigonometric part inside the bracket. Reminder (∣(aa)(cos0 = 1 and sin0 = 0)(aa)∣) ... Aug 1, 2023 · Tabel Trigonometri Untuk Seluruh Sudut. Jika tabel diatas menjelaskan cara menghitung sin cos tan dengan tabel trigonometri sudut istimewa yakni sudut sudut istimewa seperti 0°, 30°, 45°, 60°, dan 90° sehingga akan membantu kalian menghafal dengan cepat nilai sin cos tan dari tabel trigonometri diatas, maka disini akan dijelaskan secara ... May 24, 2015 · Explanation: The reference angle for 240∘ is 60∘ (since 240∘ = 180∘ + 60∘) 60∘ is an angle of one of the standard triangles with. cos(60∘) = 1 2. 240∘ is in the 3rd quadrant so (either by CAST or noting that the "x-side" of the associate triangle is negative) cos(240∘) = − cos(60∘) cos(240∘) = − 1 2. Answer link. Online cosine calculator. Accepts values in radians and in degrees. Free online cosine calculator. cos(x) calculator. Learn and revise trigonometric ratios of sine, cosine and tangent and calculate angles and lengths in right-angled triangles with GCSE Bitesize AQA Maths. ... [\cos{60} = \frac{1}{2}\]Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.240^o has a reference angle of 60^o as indicated in the image below. A 60^o angle is a basic angle from one of the common triangles: From their definitions: sin(240^o) = -sqrt(3)/2 cos(240^o) = -1/2 tan(240^o) = sqrt(3) csc(240^o) = - 2/sqrt(3) sec(240^o) = -2 cot(240^o) = 1/sqrt(3)So we have proved LHS = = RHS. cos A. cos(60 + A). cos(60 − A) = 1 4cos 3A cos A. cos ( 60 + A). cos ( 60 − A) = 1 4 cos 3 A. Hence proved. Note: Carefully read the question. Here to prove LHS = = RHS you should be familiar with the identities. Most of the mistakes are done while simplifying so kindly avoid the mistakes while simplifying..
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