Question

How to simplify 1 - cos^2 θ/ sin^2 θ

Answer 1

$\bf \textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1\implies sin^2(\theta)=1-cos^2(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{1-cos^2(\theta )}{sin^2(\theta )}\implies \cfrac{sin^2(\theta )}{sin^2(\theta )}\implies 1$