Question

solve the equation ​

Answer 1

Step-by-step explanation:

by dividing both numerator and denominator with

$\cos(theta)$

Answer 2

Given

$\tan( \theta) = \frac{a}{b}$

LHS

$\frac{a \sin(\theta) - b\cos(\theta) }{a \sin(\theta)) + b \cos(\theta)) }$

on dividing cos \theta above and below in fraction we get

$\frac{a \tan(\theta) - b}{a \tan(\theta) + b}$

on putting tan \theta = a/b

we get

$\frac{ {a}^{2} - {b}^{2} }{ {a}^{2} + {b}^{2} }$

So LHS = RHS

hence proved