Convert each of the following products into the sum or difference of sines and cosines: `2sin5theta\ costheta`

Explanation

`2 sin 5 theta cos theta`



`A=5 theta quad B=theta`



`2 sin A cos B=sin (A+B)+sin (A-B)`



`2 sin 5 theta cos theta =sin (5 theta+theta)+sin (5 theta-theta)`


`=sin (6 theta)+sin (4 theta)`


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