SOLUTION: Write the trigonometric expression as an algebraic expression in u. 15) cos (sin-1 u)

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Question 592372: Write the trigonometric expression as an algebraic expression in u.
15) cos (sin-1 u)
Answer by lwsshak3(11628) About Me  (Show Source):
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Write the trigonometric expression as an algebraic expression in u.
15) cos (sin-1 u)
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(sin-1 u) is an angle whose sin=u/1 (opposite side/hypotenuse)
The adjacent side for this angle would then be=√(1^2-u^2)=√(1-u^2) (by pythagorean theorem)
Thus, cos (sin-1 u)=√(1-u^2)/1 =√(1-u^2)