Question

express the following product into sum or difference cos 6 theta sin 2 theta​❤️❤️❤️​

Answer 1

▫️▪️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=2sinθcosθ2sin⁡Asin⁡B=cos⁡(A−B)−cos⁡(A+B), sin⁡2θ=2sin⁡θcos⁡θ.

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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