Get the answer to "How to simplify sin⁡θcos2θ−sin⁡θ?"

Jase Bentley

Answered question

2022-12-31

How to simplify

\sin θ \cos^{2} θ - \sin θ

mercerizoblx

Beginner2023-01-01Added 7 answers

Remember that

X X X \sin^{2} (θ) + \cos^{2} (θ) = 1

or (in a modified form)

X X X \cos^{2} (θ) - 1 = - \sin^{2} (θ)

Considering the expression:

X X X \sin (θ) \cos^{2} (θ) - \sin (θ)

we can factor this as

X X X \sin (θ) \cdot (\cos^{2} (θ) - 1)

The using the earlier identity, we have

X X X \sin (θ) \cdot (- \sin (θ))

X X X - \sin^{2} (θ)

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