Question #7fa6f

1 Answer
Rutik Tupe
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

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