Question

This one is also of trigonometry please answer step by step with a photo

Answer 1

Answer:

Step-by-step explanation:

i have attached a file pls refer to it

Answer 2

Question :-

Prove that

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

Solution :-

Take LHS

$\sin {}^{2} (x) + \frac{1}{1 + \tan {}^{2} (x) }$

As,

$1 + \tan {}^{2} (x) = \sec {}^{2} (x)$

Hence,

$\sin {}^{2} (x) + \frac{1}{ \sec {}^{2} (x) }$

As,

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

So,

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

LHS =RHS - - - (PROVED)