Question

solve this question.

Answer 1

Hi...☺

Here is your answer...✌

LHS

$= \sqrt{ \sec ^{2}\alpha + \cosec ^{2} \alpha } \\ \\ = \sqrt{1 + \tan ^{2} \alpha + 1 + \cot ^{2} \alpha } \\ \\ = \sqrt{ \tan ^{2} \alpha + \cot^{2} \alpha + 2 } \\ \\ = \sqrt{ \tan ^{2} \alpha + \cot^{2} \alpha + 2 \times { \tan \alpha } \times \cot \alpha } \\ \\ = \sqrt{ (\tan\alpha + \cot\alpha)^{2} } \\ \\ = \tan\alpha + \cot\alpha$

= RHS [ Proved ]