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Which of the following is an identity? Also, please include an explanation.

sinθcotθsecθ = 0, sinθcotθsecθ = 1, sinθcotθsecθ = cot2θ, or sinθcotθsecθ = tan2θ?

Verified Answer :

Julik

\(cot\theta= \frac{ cos \theta}{ sin \theta } \\ sec\theta = \frac{1}{ cos \theta } \\ \\ \\ sin \theta cot\theta sec\theta \\ = sin \theta \cdot \frac{ cos \theta}{ sin \theta } \cdot \frac{1}{ cos \theta } \\ = \frac{ sin \theta}{ sin \theta } =1 \\\)


sinθcotθsecθ = 1





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