Respuesta :
The given function [cos(7y) cos (3y) - sin (7y) sin (3y)] is equal to cos(10y) as per trigonometric identities.
What are the trigonometric identities?
"Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation. There are various distinct trigonometric identities involving the side length as well as the angle of a triangle."
Given, trigonometric function is: cos(7y) cos (3y) - sin (7y) sin (3y)
We know, cos(A + B) = cos(A) cos(B) - sin(A) sin(B)
Therefore, cos(7y) cos (3y) - sin (7y) sin (3y)
= cos(7y + 3y)
= cos(10y)
Learn more about trigonometric identities here: https://brainly.com/question/25308510
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