Verify the identity.\sin2x\cos x-\cos2x\sin x=\sin x

Trent Carpenter

Trent Carpenter

Answered question

2021-09-06

Verify the identity.
sin2xcosxcos2xsinx=sinx

Answer & Explanation

coffentw

coffentw

Skilled2021-09-07Added 103 answers

Given:
sin2xcosxcos2xsinx=sinx
Manipulating left side
sin2xcosxcos2xsinx
Rewrite using trigonometry identities: sinAcosBcosAsinB=sin(AB)
Here:
A=2x and B=x
So,
sin2xcosxcos2xsinx=sin(2xx)
sin2xcosxcos2xsinx=sinx
Hence proved.
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-10Added 2605 answers

Answer is given below (on video)

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