Question

HELP!!! Simplify cos^2 0 -1/ 4sin^2 0?

Answer 1

We need to simpify the given expression. The given expression to us is ,

Given Expression :-

$\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta }$

Using Identity :-

$\sf\implies \red{ sin^2\theta + cos^2\theta = 1}$

So that :-

$\sf\implies - sin^2\theta = cos^2\theta -1$

We have :-

$\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta } \\\\\sf\implies\dfrac{ - sin^2\theta}{4sin^2\theta}=\boxed{\sf -\dfrac{1}{4}}$

Hence the required answer is -1/4.