How to use the fundamental identities to simplify cot theta sec theta?

Kristin Montgomery

Kristin Montgomery

Answered question

2022-12-27

How to use the fundamental identities to simplify cotθsecθ?

Answer & Explanation

Dorian Beasley

Dorian Beasley

Beginner2022-12-28Added 13 answers

Identity information:
cotθ=cosθcosθ
secθ=1cosθ
cscθ=1sinθ
cotθsecθ=cosθsinθ1cosθ=1sinθ=cscθ
Damon Turner

Damon Turner

Beginner2022-12-29Added 3 answers

As cotθ=costheasinθ and secθ=1cosθ
cotθsecθ=cosθsinθ×1cosθ
Undefined control sequence \cancel
= 1sinθ
= cscθ

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