SOLUTION: if x=cos theta , what is tan theta in terms of x? this question is in my book

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Question 903497: if x=cos theta , what is tan theta in terms of x?


this question is in my book
Found 2 solutions by Fombitz, math_pro:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
If x=cos%28theta%29, then
x%5E2%2B%28sin%28theta%29%29%5E2=1
%28sin%28theta%29%29%5E2=1-x%5E2
sin%28theta%29=0+%2B-+sqrt%281-x%5E2%29
So then,
tan%28theta%29=sin%28theta%29%2Fcos%28theta%29
tan%28theta%29=%280+%2B-+sqrt%281-x%5E2%29%29%2Fx

Answer by math_pro(4) About Me  (Show Source):
You can put this solution on YOUR website!
x = cos = adjacent/ hypotenuse = x/1 = x
tan is opposite / adjacent = ? / x
maybe the ? is 1?