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(1+tan^2x)sin^2x=tan^2x
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http://www.wolframalpha.com/input/?i=(1%2btan%5e2x)sin%5e2x%3dtan%5e2x&incTime=true
\(\large\color{black}{ \displaystyle (1+\tan^2x)\sin^2x=\tan^2x }\) \(\large\color{black}{ \displaystyle (\sec^2x)\sin^2x=\tan^2x }\) \(\large\color{black}{ \displaystyle \frac{1}{\cos^2x}\sin^2x=\frac{\sin^2x}{\cos^2x} }\)
and then you see it from there
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