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

Tahmid Knox 2021-01-17 Answered
Solve (1sin2x)(csc2x1)
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Expert Answer

averes8
Answered 2021-01-18 Author has 92 answers
(1sin2(x))csc2(x)1
Use the following identity: cos2(x)+sin2(x)=1
Therefore 1sin2(x)=cos2(x)(1+csc2(x))
Use the following identity: cot2(x)+csc2(x)=1
Therefore 1+csc2(x)=cot2(x)=cos2(x)cot2(x)
Therefore
(1sin2(x)(csc2(x)1)=cot2(x)cot2(x)
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