SOLUTION: Write the expression as an algebraic expression in x and y cos(sin^-1x +cos^1y)

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Question 819572: Write the expression as an algebraic expression in x and y
cos(sin^-1x +cos^1y)
Answer by lwsshak3(11628) About Me  (Show Source):
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Write the expression as an algebraic expression in x and y
cos(sin^-1x +cos^1y)
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let sin(a)=x
cos(a)=√(1-sin^2(a))=(√(1-x^2)
let cos(b)=y
sin(b)=√(1-cos^2(y))=√(1-y^2)
Identity: cos(a+b)=cos(a)cos(b)-sin(a)sin(b)
cos(sin^-1x +cos^1y)=cos(a+b)
cos(a+b)=√(1-x^2)*y-x√(1-y^2)