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Mukeshkumar · Answer 1 · 2019-07-26T01:43:33+0000

The given expression can be proved using the Pythagorean identity as shown below:

$L.H.S \\ \\ = 1+ sec^(2) *sin^(2)x \\ \\ =1+ (1)/(cos^(2)x ) sin^(2)x \\ \\ =1+tan^(2)x \\ \\ =sec^(2)x \\ \\ = R.H.S$

Thus, the Left hand side has been proved equal to Right Hand Side.

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