Question

(cos^2theta +tan square theya-1)÷sin square theta = tan square theta
prove that

Answer 1

hope this helps. factorisation and simplifications are done using

$\sin {}^{2} \alpha + \cos {}^{2} \alpha = 1$
and

$\tan^{2} \alpha = \frac{ \sin {}^{2} \alpha }{ \cos {}^{2} \alpha }$