Prove that $sin^2x + sin^2xcot^2x -= 1$ is an identity?

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Answer 1 · 2017-03-23T18:35:19

We will use the following standard trigonometric identities:

$1+cot^2theta -= csc^2 theta$

So then:

$sin^2x + sin^2xcot^2x -= sin^2x(1+cot^2x)$
$" " -= sin^2x(csc^2x)$
$" " -= sin^2x*1/(sin^2x)$
$" " -= 1$ QED

Prove that sin^2x + sin^2xcot^2x -= 1 sin^2x + sin^2xcot^2x -= 1 is an identity?