The correct answer for this trigonometric expression is option C i.e. sin 11x.
What is Trigonometry?
Trigonometry basics deal with the measurement of angles and problems related to angles. There are three basic functions in trigonometry: sine, cosine, and tangent.
Here, given expression
sin 8x . cos 3x + cos 8x . sin 3x
we know that,
sin A . cos B + cos A . sin B = sin (A + B) .........(i)
on comparing this with given expression, we get
A = 8x and B = 3x
Put this in equation (i), we get
sin 8x . cos 3x + cos 8x . sin 3x = sin (8x + 3x)
= sin 11x.
Thus, The correct answer for this trigonometric expression is option C i.e. sin 11x.
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