Question

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Answer 1

L.H.S

( sec²x - sin²x ) / tan² x

= > ( 1/cos²x - sin²x ) / ( sin²x / cos²x )

= > ( 1 - sin²x cos²x ) / cos²x / sin²x / cos² x

= > ( 1 - sin²x cos²x ) / sin²x

= > 1 / sin²x - sin²x cos²x / sin²x

= > cosec²x - cos²x

Hence L.H.S = R.H.S [ Proved ]

Formulas used :

sin x = 1/cosec x

cos x = 1/sec x

tan x = sin x / cos x

Answer 2

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