Question

prove that LHS= RHS

please do it​

Answer 1

Answer:

Hope it will help you. ..

Answer 2

QUESTION⤵️

$\frac{1}{1 + sin \: theta} + \frac{1}{1 - \sin \: theta } = 2 \sec \: theta$

ANSWER ⤵️

WE WILL TAKE THE LCM OF (1+SIN THETA) AND (1- SIN THETA)

$\frac{(1 - \sin \: theta) \: (1 + \: sin \: theta) }{(1 + \: sin \: theta) \: (1 - sin \: theta)}$

$\frac{1 - sin \: theta \: + 1 + \: sin \: theta}{(1 + sin \: theta)(1 - sin \: theta)}$

$\frac{2}{1 - { \sin }^{2} theta}$

$\frac{2}{ { \cos }^{2} theta}$

$\longrightarrow \purple{2 { \sec}^{2} theta}$

$\longrightarrow \: \red{rhs}$

✔️ formula used:::-

$1 - {sin}^{2} theta = {cos}^{2} theta$

$\huge\star\mathtt\pink{hope \: it \: helps}\star$