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The value of (sin^2 θ + 1/(1 + tan^2 θ)) = ______. - Mathematics

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Question

The value of `(sin^2 θ + 1/(1 + tan^2 θ))` = ______.

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Solution

The value of `(sin^2 θ + 1/(1 + tan^2 θ))` = 1.

Explanation:

`sin^2 θ + 1/(1 + tan^2 θ) = sin^2 θ + 1/(sec^2 θ)`

= sin2θ + cos2θ

 = 1

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