How to simplify (csc theta cot theta) / sec theta?

sublimnoj7u7

sublimnoj7u7

Answered question

2022-12-28

How to simplify cscθcotθsecθ?

Answer & Explanation

Collin Johns

Collin Johns

Beginner2022-12-29Added 10 answers

As cscθ=1sinθ, cotθ=cosθsinθ and secθ=1cosθ
Hence cscθcotθsecθ
= (1sinθ)×(cosθsinθ)1cosθ
= (1sinθ)×(cosθsinθ)×(cosθ1)
= cos2θsin2θ
= cot2θ

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