Examples on Trigonometric ratios of 270 degrees minus theta(270 - θ) 1) Find the value of cos2700 c o s 270 0. Solution : cos2700 c o s 270 0. 270 = 270 - 0. As we know that cos(270− Θ) = −sinΘ c o s ( 270 − Θ) = − s i n Θ. ∴ cos2700 c o s 270 0 = cos (270 -0) = - sin0. ⇒ cos2700 c o s 270 0 = 0.Calculate the value of the cos of 127 ° To enter an angle in radians, enter cos (127RAD) cos (127 °) = -0.601815023152048 Cosine the trigonometric function that is equal to the ratio of the side ...Solution. Find the value given trigonometric expression. Given, sin 270 ∘ can be expressed as, sin 270 ∘ = sin ( 180 ∘ + 90 ∘) Since sin is a periodic function of time period 2 π, also negative in third quadrant or sin ( π + θ) = − sin θ ,where π = 180 ∘.cos (270) cos ( 270) 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 third quadrant. −cos(90) - cos ( 90) The exact value of cos(90) cos ( 90) is 0 0. −0 - 0 Multiply −1 - 1 by 0 0. 0 0The Value of the Inverse Cos of -1. As you can see below, the cos-1 (1) is 270° or, in radian measure, 3Π/2 . '-1' represents the minimum value of the cosine function ever gets and happens at Π and then again at 3Π ,at 5Π etc..Study with Quizlet and memorize flashcards containing terms like Sin 0, Cos 0, Tan 0 and more. ... Cos 270. 0. Tan 270. Undefined. Cot 270. 0. Upgrade to remove ads ... For cos 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 1, √3/2, 1/√2, 1/2, 0 -ad- For tanThe big angle, (A + B), consists of two smaller ones, A and B, The construction (1) shows that the opposite side is made of two parts. The lower part, divided by the line between the angles (2), is sin A. The line between the two angles divided by the hypotenuse (3) is cos B. Multiply the two together. The middle line is in both the numerator ...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) gcos (a + b) = cos a * cos b - sin a * sin b Substituting in a = 270 and b = x: cos 270 * cos x - sin 270 * sin x cos 270 = 0, causing the cos 270 * cos x to cancel out. sin 270 is -1: For cos 180 degrees, the angle 180° lies on the negative x-axis. Thus cos 180° value = -1 Since the cosine function is a periodic function, we can represent cos 180° as, cos 180 degrees = cos(180° + n × 360°), n ∈ Z. ⇒ cos 180° = cos 540° = cos 900°, and so on. Note: Since, cosine is an even function, the value of cos(-180°) = cos ...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. Note: Since 270° lies on the negative y-axis, the final value of sin 270° will be negative. We can use trigonometric identities to represent sin 270° as, sin(180° - 270°) = sin(-90°)-sin(180° + 270°) = -sin 450° cos(90° - 270°) = cos(-180°)-cos(90° + 270°) = -cos 360° ☛ Also Check: sin 2 degrees; sin 270 degrees; sin 120 degreesThis gives us cos of 270 degrees multiplied by cos 𝜃 minus sin of 270 degrees multiplied by sin 𝜃. The cos of 270 degrees is zero, and the sin of 270 degrees is negative one. Our expression simplifies to zero multiplied by cos 𝜃 minus negative one multiplied by sin 𝜃, which is equal to sin 𝜃. This confirms the expression we got ... For cos 315 degrees, the angle 315° lies between 270° and 360° (Fourth Quadrant). Since cosine function is positive in the fourth quadrant, thus cos 315° value = 1/√2 or 0.7071067. . . Since cosine function is positive in the fourth quadrant, thus cos 315° value = 1/√2 or 0.7071067. . .However the first step is to be familiar with cos 90 degrees which includes how to represent cos 90 in terms of other trigonometric functions and trigonometric identities. Below are the following trigonometric identities which can represent cos 90: - cos(180 - 90)= - cos 90 - cos(180 + 90) = - cos 270Encuentra una respuesta a tu pregunta simplificar tg(90+x).cos(270-x) Respuesta: cos(x) Explicación paso a paso: tan(90+x) está en el segundo cuadrante, tangente es negativo en el segundo cuadrante y como es de la forma "90 +x" de cambia a su co-razon trigonometrica por lo tanto tan(90+x)= -cot(x)Solution. Find the value given trigonometric expression. Given, sin 270 ∘ can be expressed as, sin 270 ∘ = sin ( 180 ∘ + 90 ∘) Since sin is a periodic function of time period 2 π, also negative in third quadrant or sin ( π + θ) = − sin θ ,where π = 180 ∘. Now I change cX to 3 and it works even if it doesn't effect the calculation which is: r * math.cos (math.radians (270)) The result of that calculation is added to the x coordination. import math cX = 3 cY = 2 r = 2 rcX = cX + (r * math.cos (math.radians (0))) rcY = cY + (r * math.sin (math.radians (0))) print rcX #5 print rcY #2 r = 1 rlX = rcX ...cos (a + b) = cos a * cos b - sin a * sin b Substituting in a = 270 and b = x: cos 270 * cos x - sin 270 * sin x cos 270 = 0, causing the cos 270 * cos x to cancel out. sin 270 is -1:For cos 315 degrees, the angle 315° lies between 270° and 360° (Fourth Quadrant). Since cosine function is positive in the fourth quadrant, thus cos 315° value = 1/√2 or 0.7071067. . . Since cosine function is positive in the fourth quadrant, thus cos 315° value = 1/√2 or 0.7071067. . .Yes, indeed: \cos(-2\pi) = \cos(2\pi) = 1. Formally, this is because \cos \theta is an even function, meaning \cos\theta = \cos(−\theta) for all \theta. This can be seen in a number of ways. ...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.For cos 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 1, √3/2, 1/√2, 1/2, 0 -ad- For tanNow I change cX to 3 and it works even if it doesn't effect the calculation which is: r * math.cos (math.radians (270)) The result of that calculation is added to the x coordination. import math cX = 3 cY = 2 r = 2 rcX = cX + (r * math.cos (math.radians (0))) rcY = cY + (r * math.sin (math.radians (0))) print rcX #5 print rcY #2 r = 1 rlX = rcX ...Trigonometry Find the Value Using the Unit Circle cos (270) cos (270) cos ( 270) Find the value using the definition of cosine. cos(270) = adjacent hypotenuse cos ( 270) = adjacent hypotenuse Substitute the values into the definition. cos(270) = 0 1 cos ( 270) = 0 1 Divide 0 0 by 1 1. 0 0 The angle is 270 degrees as shown in the attached image. You start on the positive x axis and rotate until you reach the point (0,-5) This is why the answer is choice A) 5(cos(270) + i*sin(270))For cos 180 degrees, the angle 180° lies on the negative x-axis. Thus cos 180° value = -1 Since the cosine function is a periodic function, we can represent cos 180° as, cos 180 degrees = cos(180° + n × 360°), n ∈ Z. ⇒ cos 180° = cos 540° = cos 900°, and so on. Note: Since, cosine is an even function, the value of cos(-180°) = cos ... cos (a + b) = cos a * cos b - sin a * sin b Substituting in a = 270 and b = x: cos 270 * cos x - sin 270 * sin x cos 270 = 0, causing the cos 270 * cos x to cancel out. sin 270 is -1:Sine, Cosine and Tangent. Sine, Cosine and Tangent (often shortened to sin, cos and tan) are each a ratio of sides of a right angled triangle: For a given angle θ each ratio stays the same no matter how big or small the triangle is. To calculate them: Divide the length of one side by another sideThe big angle, (A + B), consists of two smaller ones, A and B, The construction (1) shows that the opposite side is made of two parts. The lower part, divided by the line between the angles (2), is sin A. The line between the two angles divided by the hypotenuse (3) is cos B. Multiply the two together. The middle line is in both the numerator ...Value of cos 180 degrees can be obtained with the help of unit circle and trigonometric sin and cos functions from other angles like 0, 90, and 270 degrees. Learn cosine pi (π) value with derivation at BYJU'S. Trigonometry. Evaluate cos (270 degrees ) cos (270°) cos ( 270 °) 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 third quadrant. −cos(90) - cos ( 90) The exact value of cos(90) cos ( 90) is 0 0. −0 - 0. Multiply −1 - 1 by 0 0.Trigonometric ratios of 270 degree plus theta is one of the branches of ASTC formula in trigonometry. Trigonometric-ratios of 270 degree plus theta are given below. sin (270 ° + θ) = - cos θ. cos (270 ° + θ) = sin θ. tan (270 ° + θ) = - cot θ. csc (270 ° + θ) = - sec θ. sec (270 ° + θ) = cos θIn trigonometrical ratios of angles (180° - θ) we will find the relation between all six trigonometrical ratios. We know that, sin (90° + θ) = cos θ. cos (90° + θ) = - sin θ. tan (90° + θ) = - cot θ. csc (90° + θ) = sec θ. sec ( 90° + θ) = - csc θ. cot ( 90° + θ) = - tan θ. and.cos^2 x + sin^2 x = 1. sin x/cos x = tan x. You want to simplify an equation down so you can use one of the trig identities to simplify your answer even more. some other identities (you will learn later) include -. cos x/sin x = cot x. 1 + tan^2 x = sec^2 x. 1 + cot^2 x = csc^2 x. hope this helped! Solution. Evaluating the value of cos 225 ∘. cos 225 ∘ can be expressed as. cos 225 ∘ = cos ( 180 ∘ + 45 ∘) ⇒ cos ( 180 ∘ + 45 ∘) = cos 180 ∘ × cos 45 ∘ – sin 180 ∘ × sin 45 ∘ ; [ cos ( A + B) = cos ( A) × cos ( B) − sin ( A) × sin ( B)] Substituting the values of the above angles we get, cos 180 ∘ = - 1, cos ...sin(270^o) = -1, cos (270^0) = 0, tan (270^0)= undefined. Consider the unit circle (a circle with radius 1). On the unit circle as graphed on an xy coordinate plane, with 0 degrees starting at (x,y) = (1,0): graph{x^2+y^2=1 [-1, 1, -1, 1]} If we draw a line from the origin at the angle we seek, then where that line intersects the unit circle, the sin of the angle will be equal to the y ...Answer is choice C The expression given is equivalent to -3i ===== Explanation: Using a calculator, a reference sheet, o…The value of cos (270 ∘ + θ) cos (90 ∘ − θ) − sin (270 ∘ − θ) cos θ is MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS - TRIGONOMETRIC FUNCTIONS - EXERCISE 1 Trigonomertric Ratio of Allied Angle Study with Quizlet and memorize flashcards containing terms like sin 0, 90, 180, 270, 360, cos 0, 90, 180, 270, 360, tan 0, 90, 180, 270, 360 and more. Study with Quizlet and memorize flashcards containing terms like Sin 90°, Cos 90°, Tan 90° and more. Fresh features from the #1 AI-enhanced learning platform. Explore the lineupNow I change cX to 3 and it works even if it doesn't effect the calculation which is: r * math.cos (math.radians (270)) The result of that calculation is added to the x coordination. import math cX = 3 cY = 2 r = 2 rcX = cX + (r * math.cos (math.radians (0))) rcY = cY + (r * math.sin (math.radians (0))) print rcX #5 print rcY #2 r = 1 rlX = rcX ...Examples on Trigonometric ratios of 270 degrees minus theta(270 - θ) 1) Find the value of cos2700 c o s 270 0. Solution : cos2700 c o s 270 0. 270 = 270 - 0. As we know that cos(270− Θ) = −sinΘ c o s ( 270 − Θ) = − s i n Θ. ∴ cos2700 c o s 270 0 = cos (270 -0) = - sin0. ⇒ cos2700 c o s 270 0 = 0.Nov 7, 2012 · Now I change cX to 3 and it works even if it doesn't effect the calculation which is: r * math.cos (math.radians (270)) The result of that calculation is added to the x coordination. import math cX = 3 cY = 2 r = 2 rcX = cX + (r * math.cos (math.radians (0))) rcY = cY + (r * math.sin (math.radians (0))) print rcX #5 print rcY #2 r = 1 rlX = rcX ... Solution. Find the value given trigonometric expression. Given, sin 270 ∘ can be expressed as, sin 270 ∘ = sin ( 180 ∘ + 90 ∘) Since sin is a periodic function of time period 2 π, also negative in third quadrant or sin ( π + θ) = − sin θ ,where π = 180 ∘. Feb 13, 2018 · six times the quantity cosine of five pi divided by four plus i times sine of five pi divided by four 4. Write the complex number in the form a + bi. 3(cos 270° + i sin 270°) (2 points)-3i 3i 3-3 5. Find the product of z1 and z2, where z1 = 7(cos 40° + i sin 40°), and z2 = 6(cos 145° + i sin 145°). (2 points) 42(cos 40° + i sin 40°) 42 ... Tunjukkan kebenaran hubungan berikut! cos (270° + a) = sin a. Jawab:. cos (270° + a) = sin a. Kita bisa menunjukkan kebenaran hubungan di atas dengan cara berikut:Examples Using Tan 270 Degrees. Example 1: Find the value of tan 270° using the value of cos 270° and sin 270°. Solution: We know, tan 270 ° = sin 270 ° /cos 270° = -1/0 = not defined. Example 2: Simplify: (tan 270°/cot 45°) Solution: We know tan 270° = not defined and cot 45° = 1 ⇒ tan 270°/cot 45° = not defined.Value of cos 180 degrees can be obtained with the help of unit circle and trigonometric sin and cos functions from other angles like 0, 90, and 270 degrees. Learn cosine pi (π) value with derivation at BYJU'S. What is the value of cos(270)? Unit Circle Angles. The unit circle is a special circle used in trigonometry. It's radius is one, it is divided into four quadrants ... Free trigonometric simplification calculator - Simplify trigonometric expressions to their simplest form step-by-step What is the value of cos(270)? Unit Circle Angles. The unit circle is a special circle used in trigonometry. It's radius is one, it is divided into four quadrants ...Trigonometry. Evaluate cos (270 degrees ) cos (270°) cos ( 270 °) 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 third quadrant. −cos(90) - cos ( 90) The exact value of cos(90) cos ( 90) is 0 0. −0 - 0. Multiply −1 - 1 by 0 0.We would like to show you a description here but the site won’t allow us. Hence cos(180 ∘+60 ∘)=cos90 ∘=0. Solve any question of Trigonometric Functions with:-. Patterns of problems.Accepts values in radians and in degrees. Free online cosine calculator. cos(x) calculator. ... 270 = 3π/2 =-0: 270.5 = 541π/360 = 0.0087: 271 = 271π/180 = 0.0175 ...sin(270^o) = -1, cos (270^0) = 0, tan (270^0)= undefined. Consider the unit circle (a circle with radius 1). On the unit circle as graphed on an xy coordinate plane, with 0 degrees starting at (x,y) = (1,0): graph{x^2+y^2=1 [-1, 1, -1, 1]} If we draw a line from the origin at the angle we seek, then where that line intersects the unit circle, the sin of the angle will be equal to the y ...Along the same lines, using the aforementioned form, can you look up terms such as cos -270° value, cos -270, cos-270° value and what is the cos of -270 degrees, just to name a few. Given the periodic property of cosine of -270°, to determine the cosine of an angle -360°, e.g. -990°, calculate cos -990° as cos (-990 Mod 360)° = cosine of ... Free trigonometric simplification calculator - Simplify trigonometric expressions to their simplest form step-by-step Study with Quizlet and memorize flashcards containing terms like Sin 90°, Cos 90°, Tan 90° and more. Fresh features from the #1 AI-enhanced learning platform. Explore the lineupSince 180 < 270 < 270 degrees it is located in Quadrant III tan is positive. Determine angle type: 270 > 90°, so it is obtuse cos (270) = 0 Excel or Google Sheets formula: =COS (RADIANS (270)) Special Angle Values Show Unit Circle; Share the knowledge! How does the Trig Measurement Calculator work? Yes, indeed: \cos(-2\pi) = \cos(2\pi) = 1. Formally, this is because \cos \theta is an even function, meaning \cos\theta = \cos(−\theta) for all \theta. This can be seen in a number of ways. ...cos -270 degrees Along the same lines, using the aforementioned form, can you look up terms such as cos -270° value, cos -270, cos-270° value and what is the cos of -270 degrees, just to name a few. Given the periodic property of cosine of -270°, to determine the cosine of an angle -360°, e.g. -990°, calculate cos -990° as cos (-990 Mod 360)° = cosine of ...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.For cos 180 degrees, the angle 180° lies on the negative x-axis. Thus cos 180° value = -1 Since the cosine function is a periodic function, we can represent cos 180° as, cos 180 degrees = cos(180° + n × 360°), n ∈ Z. ⇒ cos 180° = cos 540° = cos 900°, and so on. Note: Since, cosine is an even function, the value of cos(-180°) = cos ...Free trigonometric simplification calculator - Simplify trigonometric expressions to their simplest form step-by-step Hence cos(180 ∘+60 ∘)=cos90 ∘=0. Solve any question of Trigonometric Functions with:-. Patterns of problems.Jan 10, 2021 · Encuentra una respuesta a tu pregunta simplificar tg(90+x).cos(270-x) Respuesta: cos(x) Explicación paso a paso: tan(90+x) está en el segundo cuadrante, tangente es negativo en el segundo cuadrante y como es de la forma "90 +x" de cambia a su co-razon trigonometrica por lo tanto tan(90+x)= -cot(x) Get the value of \cos(270) from trigonometric values table. 1 . Subtract 0 from 1 to get 1. Examples. Quadratic equation { x } ^ { 2 } - 4 x - 5 = 0. Trigonometry.Sep 30, 2020 · Tunjukkan kebenaran hubungan berikut! cos (270° + a) = sin a. Jawab:. cos (270° + a) = sin a. Kita bisa menunjukkan kebenaran hubungan di atas dengan cara berikut: Free trigonometric simplification calculator - Simplify trigonometric expressions to their simplest form step-by-step Accepts values in radians and in degrees. Free online cosine calculator. cos(x) calculator. ... 270 = 3π/2 =-0: 270.5 = 541π/360 = 0.0087: 271 = 271π/180 = 0.0175 ...You would need an expression to work with. For example: Given sinα = 3 5 and cosα = − 4 5, you could find sin2α by using the double angle identity. sin2α = 2sinαcosα. sin2α = 2(3 5)( − 4 5) = − 24 25. You could find cos2α by using any of: cos2α = cos2α −sin2α. cos2α = 1 −2sin2α. cos2α = 2cos2α − 1.Value of cos 180 degrees can be obtained with the help of unit circle and trigonometric sin and cos functions from other angles like 0, 90, and 270 degrees. Learn cosine pi (π) value with derivation at BYJU'S. Evaluate each of the following without using a calculator. 1. cos 90° + 3 sin 270° 2. tan 0° -6 sin 90° 3. 3 sec 180° - 5 tan 360° 4.4 csc 270° + 3 cos 180° 5. tan 360° + 4 sin 180° + 5 cos? 180° 6.2 sec 0° + 4 cot 90° + cos 360° 7. sin180° + cos2 180° 8. sin? 360° + cos2 360° 9. sec? 180° - 3 sin? 360° + 2 cos 180° 10.5 ... Trigonometry Examples. Popular Problems. Trigonometry. Simplify cos (270-x) cos (270 − x) cos ( 270 - x) Nothing further can be done with this topic. Please check the expression entered or try another topic. cos(270−x) cos ( 270 - x)Verified answer. Use the unit circle to find csc 270°. star. 4.9 /5. heart. 24. Enter the coordinates of the point on the unit circle at the given angle. 270°. star. 5 /5.Value of cos 180 degrees can be obtained with the help of unit circle and trigonometric sin and cos functions from other angles like 0, 90, and 270 degrees. Learn cosine pi (π) value with derivation at BYJU'S.
Trigonometry Examples. Popular Problems. Trigonometry. Simplify cos (270-x) cos (270 − x) cos ( 270 - x) Nothing further can be done with this topic. Please check the expression entered or try another topic. cos(270−x) cos ( 270 - x) . Evanescence tour 2022 canada
Trigonometry Examples. Popular Problems. Trigonometry. Simplify cos (270-x) cos (270 − x) cos ( 270 - x) Nothing further can be done with this topic. Please check the expression entered or try another topic. cos(270−x) cos ( 270 - x)Tunjukkan kebenaran hubungan berikut! cos (270° + a) = sin a. Jawab:. cos (270° + a) = sin a. Kita bisa menunjukkan kebenaran hubungan di atas dengan cara berikut:Study with Quizlet and memorize flashcards containing terms like Sin 90°, Cos 90°, Tan 90° and more. Fresh features from the #1 AI-enhanced learning platform. Explore the lineupSolution. Find the value given trigonometric expression. Given, sin 270 ∘ can be expressed as, sin 270 ∘ = sin ( 180 ∘ + 90 ∘) Since sin is a periodic function of time period 2 π, also negative in third quadrant or sin ( π + θ) = − sin θ ,where π = 180 ∘.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) gcos (270) cos ( 270) 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 third quadrant. −cos(90) - cos ( 90) The exact value of cos(90) cos ( 90) is 0 0. −0 - 0 Multiply −1 - 1 by 0 0. 0 0 For cos 225 degrees, the angle 225° lies between 180° and 270° (Third Quadrant). Since cosine function is negative in the third quadrant, thus cos 225° value = -(1/√2) or -0.7071067. . . Since cosine function is negative in the third quadrant, thus cos 225° value = -(1/√2) or -0.7071067. . .Mar 16, 2018 · Answer is choice C The expression given is equivalent to -3i ===== Explanation: Using a calculator, a reference sheet, o… What is the value of cos(270)? Unit Circle Angles. The unit circle is a special circle used in trigonometry. It's radius is one, it is divided into four quadrants ...May 29, 2023 · For cos 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 1, √3/2, 1/√2, 1/2, 0 -ad- For tan Expert Maths Tutoring in the UK - Boost Your Scores with Cuemath. Cos 450°: Cos (-450 degrees): Cos 450° in radians: cos (5π/2) or cos (7.8539816 . . .) What is the Value of Cos 450 Degrees? The value of cos 450 degrees is 0. Cos 450 degrees can also be expressed using the equivalent of the given (450 degrees) in radians (7.85398 . . .).
