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