6. We can evaluate π by use of the equation 0.5m-tan-¹(1/2)+tan-¹(1/3). Meaning of this equation is: angle of 0.5π(in radians) is a sum of an angle corresponding to tan of value (1/2) (in radians) and angle corresponding to tan of value (1/3), in radians. The first three terms of the inverse tangent function are: tan-¹x=x- (1/3)x³+(1/5)x5. Use these three terms to expand tan-¹(1/2) and tan-¹(1/3) and approximate the value of 0.5π using the equation given above. Show your complete calculations. Compare your result with value of 0.5TT.
6. We can evaluate π by use of the equation 0.5m-tan-¹(1/2)+tan-¹(1/3). Meaning of this equation is: angle of 0.5π(in radians) is a sum of an angle corresponding to tan of value (1/2) (in radians) and angle corresponding to tan of value (1/3), in radians. The first three terms of the inverse tangent function are: tan-¹x=x- (1/3)x³+(1/5)x5. Use these three terms to expand tan-¹(1/2) and tan-¹(1/3) and approximate the value of 0.5π using the equation given above. Show your complete calculations. Compare your result with value of 0.5TT.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 43E
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