Verify the identity.\cot^2\theta-\cos^2\theta=\cot^2\theta\cos^\theta

Yasmin

Yasmin

Answered question

2021-09-07

Verify the identity.
cot2θcos2θ=cot2θcosθ

Answer & Explanation

Szeteib

Szeteib

Skilled2021-09-08Added 102 answers

Given:
cot2θcos2θ=cot2θcosθ
Manipulating right side
cot2θcos2θ Rewrite using trigonometry identities: cos2θ=1sin2θ
=(1sin2θ)cot2θ
Expand (1sin2θ)cot2θ:cot2θcot2θsin2θ
=cot2θcot2θsin2θ
Simplify using: cot2θ=cos2θsin2θ
=cot2θcos2θsinθ×sin2θ
=cot2θcosθ
We showed that the two sides could take the same form.
Hence proved
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-10Added 2605 answers

Answer is given below (on video)

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