SOLUTION: Write the following expression as an algebraic expression cos(sin^(-1)x).

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Question 1033169: Write the following expression as an algebraic expression cos(sin^(-1)x).
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sin%28theta%29=x%2F1
sin%5E%28-1%29%28x%29=theta
So then,
sin%5E2%28theta%29%2Bcos%5E2%28theta%29=1
x%5E2%2Bcos%5E2%28theta%29=1
cos%5E2%28theta%29=1-x%5E2
cos%28theta%29=sqrt%281-x%5E2%29
So then,
cos%28sin%5E%28-1%29%28x%29%29=cos%28theta%29
cos%28sin%5E%28-1%29%28x%29%29=sqrt%281-x%5E2%29