Let f(x)=1-tan^2x and g(x)=tanx. Find the value of x in the interval (0, pie/2) where f(x)=g(x)

Can anyone help me with this question?

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- March 18th 2008, 07:41 PMlemonteaTrignometric Equations
Let f(x)=1-tan^2x and g(x)=tanx. Find the value of x in the interval (0, pie/2) where f(x)=g(x)

Can anyone help me with this question? - March 18th 2008, 07:46 PMo_O

You can see that you can solve it as if it were a quadratic equation. Just make sure your solution for x is in the solution set provided.

Edit: Just to make it easier to visualize, let y = tan x. So you have . So:

etc. - March 18th 2008, 07:52 PMTheEmptySet
- March 18th 2008, 08:01 PMlemontea
the answer i got is

y=-1+squareroot 5/2 or y=-1-squareroot 5/2

am i right? - March 18th 2008, 08:10 PMo_O
Yes. So: