Question

Express sin 15x -sin x as the product of sines and cosines​

Answer 1

Given : sin 15x -sin x

To Find : Express sin 15x -sin x as the product of sines and cosines​

Solution:

sin 15x -sin x

Sin A - Sin B  =  2 Sin{( A - B)/2}  Cos {( A + B)/2}

A = 15x

B = x

= 2 Sin { (15x - x)/2} cos { )15x + x)/2}

= 2 Sin (14x/2)cos(16x/2)

= 2Sin7x Cos8x

sin 15x -sin x = 2Sin7x Cos8x

Learn More:

Prove that sinα + sinβ + sinγ − sin(α + β+ γ) = 4sin(α+β/2)sin(β+γ/2)sin(α+γ/2)

https://brainly.in/question/10480120