Question #7fa6f

1 Answer
Jan 24, 2018

See below

Explanation:

Let,
R.H.S => 2cosec^2x - 1
L.H.S => (1 + cos^2x)/sin^2x

L.H.S => 1/sin^2x + cos^2x/sin^2x

L.H.S => cosec^2x + cot^2x

as, 1 + cot^2x = cosec^2x

L.H.S => cosec^2x + cosec^2x - 1

L.H.S => 2cosec^2x - 1

Hence, L.H.S = R.H.S ....... proved