Question

Proof:- sin(7 theta)+sin(5 theta)/sin(7 theta)-sin(5 theta)=?

Answer 1

`(sin7x+sin5x)/(sin7x-sin5x)=tan6x*cotx`

Explanation:

`rarr(sin7x+sin5x)/(sin7x-sin5x)`

`=(2sin((7x+5x)/2)*cos((7x-5x)/2))/(2sin((7x-5x)/2)*cos((7x+5x)/2)`

`=(sin6x*cosx)/(sinx*cos6x)`

`=(tan6x)/tanx=tan6x*cottx`