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Setler79 [48]
3 years ago
14

Verify the identity. Show your work. 1 + sec^2xsin^2x = sec^2x

Mathematics
1 answer:
allsm [11]3 years ago
4 0
\bf \textit{Pythagorean Identities}
\\\\
1+tan^2(\theta)=sec^2(\theta)\\\\
-------------------------------\\\\
1+sec^2(x)sin^2(x)=sec^2(x)
\\\\\\
1+\cfrac{1}{cos^2(x)}\cdot sin^2(x)\implies 1+\cfrac{sin^2(x)}{cos^2(x)}\\\\\\ 1+tan^2(x)\implies sec^2(x)
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