Visual proof Let F(x) = S¿ Vď – ² đt. The figure shows that F(x) = area of sector OAB + area of triangle OBC. %3D a. Use the figure to prove that a sin'(x/a) , xVa – x² F(x) = b. Conclude that a² sin-"(x/a) xVa – x? + C. 2 (Source: The College Mathematics Journal, 34, 3, May 2003) y. A a y = Va? - B
Visual proof Let F(x) = S¿ Vď – ² đt. The figure shows that F(x) = area of sector OAB + area of triangle OBC. %3D a. Use the figure to prove that a sin'(x/a) , xVa – x² F(x) = b. Conclude that a² sin-"(x/a) xVa – x? + C. 2 (Source: The College Mathematics Journal, 34, 3, May 2003) y. A a y = Va? - B
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 21E
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