# Thread: Trig Equation Problem

1. ## Trig Equation Problem

Solve for all positive values of the angle theta such that theta is greater than or equal to zero and less than or equal to 360 degrees.
sin2theta + cot2theta=1

Help please! I really have no idea on how to solve this.

2. Originally Posted by fayeorwhatsoever
Solve for all positive values of the angle theta such that theta is greater than or equal to zero and less than or equal to 360 degrees.
sin2theta + cot2theta=1

Help please! I really have no idea on how to solve this.

is that ...

$
\sin(2\theta) + \cot(2\theta) = 1
$

or ...

$
\sin^2{\theta} + \cot^2{\theta} = 1
$

?

4. Let $t = \tan(\theta)$
You can show that $\sin(2 \theta) = \frac{2t}{1+t^2}$
and that $\cot(2 \theta) = \frac{1-t^2}{2t}$