Question

Show that:

$\frac{{\cot }^{2}A}{1+cosecA}+1=cosecA$

Answer 1

$\frac{{\cot }^{2}A}{1+cosecA}+1$

$\Rightarrow \frac{cose{c}^{2}A-1+(1+cosecA)}{1+cosecA}$

$\Rightarrow \frac{cose{c}^{2}A+cosecA}{1+cosecA}$

$\Rightarrow \frac{cosecA(cosecA+1)}{1+cosecA}$

$\Rightarrow \therefore cosecA$