How to simplify sin theta + cot theta cos theta?

Bradyn Mclean

Bradyn Mclean

Answered question

2023-01-18

How to simplify sinθ+cotθcosθ?

Answer & Explanation

Digngoorpr43

Digngoorpr43

Beginner2023-01-19Added 14 answers

sinθ+cotθcosθ
=sinθ+(cosθsinθ)cosθ (Since cotθ=1tanθ=cosθsinθ)
=sin2θ+cos2θsinθ
=1sinθ (Since sin2θ+cos2θ=1)
=cscθ

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