Mathematics

Mathematics

Problem

Prove that (sec⁡θ−cos⁡θ)(csc⁡θ−sin⁡θ)(tan⁡θ+cot⁡θ)=1(\sec\theta-\cos\theta)(\csc\theta-\sin\theta)(\tan\theta+\cot\theta)=1 for every acute angle θ\theta.

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