Respuesta :

The solution of the sin (10x) cos (7x) is 1/2 sin(17x ) + sin(3x).

What are the trigonometric identities?

We can calculate with the help of one of the trigonometric identities;

sin(A)cos(B) = 1/2 sin(A+B) + sin(A - B)

WE have given

sin (10x) cos (7x)

Here, A = 10x

B= 7x

So, sin(A)cos(B) = 1/2 sin(A+B) + sin(A - B)

sin(10x) cos(7x) = 1/2 sin(10x + 7x ) + Sin (10x - 7x)

sin(10x) cos(7x) = 1/2 sin(17x ) + sin(3x)

sin(10x) cos(7x) = 1/2 sin(17x ) + sin(3x)

Learn more about trigonometric ratios here:

https://brainly.com/question/22599614

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