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Heya!!!
L.H.S
( Cosec x - Cot x )² =
( 1 - Cos x )²
________
Sin² x
=>
( 1 - Cos x ) × ( 1 - Cos x )
__________________
( 1² - Cos² x )
=>
( 1 - Cos x ) × ( 1 - Cos x )
__________________
( 1 - Cos x ) ÷ ( 1 + Cos x )
=>
( 1 - Cos x )
_________ = R.H.S
( 1 + Cos x )
HENCE PROVED.
L.H.S
( Cosec x - Cot x )² =
( 1 - Cos x )²
________
Sin² x
=>
( 1 - Cos x ) × ( 1 - Cos x )
__________________
( 1² - Cos² x )
=>
( 1 - Cos x ) × ( 1 - Cos x )
__________________
( 1 - Cos x ) ÷ ( 1 + Cos x )
=>
( 1 - Cos x )
_________ = R.H.S
( 1 + Cos x )
HENCE PROVED.
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