SOLUTION: Write each function value as a non-trigonometric expression in x: cos(2arcsinx)

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Question 975581: Write each function value as a non-trigonometric expression in x:
cos(2arcsinx)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
cos%282Z%29=cos%5E2%28Z%29-sin%5E2%28Z%29
Z=sin%5E%28-1%29%28x%29
In other words,
sin%28Z%29=x
By relation,
cos%5E2%28Z%29%2Bx%5E2=1
cos%5E2%28Z%29=1-x%5E2
and
sin%5E2%28Z%29=x%5E2
Substituting,
cos%282Z%29=%281-x%5E2%29-x%5E2
cos%282%2Asin%5E%28-1%29%28x%29%29=highlight%281-2x%5E2%29