SOLUTION: Rewrite the expression as an algebraic expression in x. Assume x>0 cos(2tan^-1(1/x))

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Question 737716: Rewrite the expression as an algebraic expression in x. Assume x>0
cos(2tan^-1(1/x))
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Rewrite the expression as an algebraic expression in x. Assume x>0
cos%282tan%5E-1%281%2Fx%29%29
let O=opposite side
let A=adjacent side
H=hypotenuse
...
let y=tan^-1(1/x)
tan(y)=(1/x)=O/A
O=1, A=x
H=sqrt%28O%5E2%2Bx%5E2%29=sqrt%281%2Bx%5E2%29
cos%28y%29=A%2FH=x%2Fsqrt%281%2Bx%5E2%29