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PLEASE HELP DUE BY MIDNIGHT! Prove that the top card matches the bottom. Trigonometry. THANK YOU!

PLEASE HELP DUE BY MIDNIGHT! Prove that the top card matches the bottom. Trigonometry-example-1
User RedFox
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\textit{Pythagorean Identities} \\\\ \sin^2(\theta)+\cos^2(\theta)=1\implies \cos^2(\theta )=1-\sin^2(\theta ) \\\\ 1+\cot^2(\theta)=\csc^2(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{1-\sin^2(\theta )}{1+\cot^2(\theta )}~~ = ~~\sin^2(\theta )\cos^2(\theta ) \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1-\sin^2(\theta )}{1+\cot^2(\theta )}\implies \cfrac{\cos^2(\theta )}{\csc^2(\theta )}\implies \cfrac{\cos^2(\theta )}{ ~~ (1)/(\sin^2(\theta )) ~~ }\implies \cos^2(\theta )\sin^2(\theta )

User Jason Frank
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