Solve frac{(1-sin^{2}x)}{(csc^{2}x-1)}

Solve frac{(1-sin^{2}x)}{(csc^{2}x-1)}

Solve \(\frac{(1-\sin^{2}x)}{(csc^{2}x-1)}\)

Answers (1)

Use the following identity: \(\cos^{2}(x)+\sin^{2}(x)=1\)
Therefore \(1-\sin^{2}\frac{(x)=cos^{2}(x)}{(-1+csc^{2}(x))}\)
Use the following identity: \(-\cot^{2}(x)+csc2(x)=1\)
Therefore \(-1+csc^{2}(x)=\cot^{2}(x)=\frac{\cos^{2}(x)}{\cot^{2}(x)}\)

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