Question

This question is of trigonometry please answer step by step with a photo

Answer 1

it's so easy mate Here your answer in attachment

Answer 2

Question :-

Prove that

$\cos {}^{2} (x) + \frac{1}{1 + \cot {}^{2} (x) } = 1$

Solution :-

Take LHS

$\cos {}^{2} (x) + \frac{1}{1 + \cot {}^{2} (x) }$

As,

$1 + \cot {}^{2} (x) = cosec {}^{2} (x)$

Hence,

$\cos {}^{2} (x) + \frac{1}{cosec {}^{2} (x)}$

As

$\frac{1}{cosec {}^{2} (x)} = \sin {}^{2} (x)$

So,

$\sin {}^{2} (x) + \cos {}^{2} (x) = 1 \\ \\ 1 = 1$

LHS =RHS - - - (PROVED)