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What is sinxcosx?
Question

What is sinxcosx?


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Solution

Method 1:

We know that,

2sinxcosx=sin2x

Divide both sides by 2, we get

sinxcosx=12sin2x

Method 2:

We know that,

sinA+B=sinAcosB+cosAsinB

substitute A=B=x, we get

sinx+x=sinxcosx+cosxsinx

sin2x=2sinxcosx

12sin2x=sinxcosx


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