How to simplify sin⁡θcos2θ−sin⁡θ?

Jase Bentley

Jase Bentley

Answered

2022-12-31

How to simplify sinθcos2θsinθ?

Answer & Explanation

mercerizoblx

mercerizoblx

Expert

2023-01-01Added 7 answers

Remember that
XXXsin2(θ)+cos2(θ)=1
or (in a modified form)
XXXcos2(θ)1=sin2(θ)
Considering the expression:
XXXsin(θ)cos2(θ)sin(θ)
we can factor this as
XXXsin(θ)(cos2(θ)1)
The using the earlier identity, we have
XXXsin(θ)(sin(θ))
or
XXXsin2(θ)

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