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▫️▪️To express the given product as a sum containing only sines or cosines of the expression :
y=sin(6θ)sin(2θ)
▫️▪️To simplify a function existing in the multiple of an angle, we use the multiple angle identities.The formulas helpful in solving are given by :
2sinAsinB=cos(A−B)−cos(A+B), sin2θ=2sinθcosθ2sinAsinB=cos(A−B)−cos(A+B), sin2θ=2sinθcosθ.
By reducing sin , cossin , cos of multiple of the angle into a single angle, we get the polynomial function in terms of sin,cos.
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