How to verify the identity sin(x/2)cos(x/2)=sinx/2?

Pieszkowo3gc4

Pieszkowo3gc4

Answered question

2023-03-24

How to verify the identity sin ( x 2 ) cos ( x 2 ) = sin x 2 ?

Answer & Explanation

nelagodafsed

nelagodafsed

Beginner2023-03-25Added 8 answers

Using trigonometry, identify:
sin 2 A = 2 sin A cos A
Let A = x 2
sin x 2 = 1 2 sin ( 2 ( x 2 ) ) =
2 ( 1 2 ) sin ( x 2 ) cos ( x 2 ) = sin ( x 2 ) cos ( x 2 )

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