Simplify the expression: sin (2x) cos (5x) − sin (5x) cos (2x).
a. cos(-3x)
b. cos(7x)
c. sin(-3x)
d. sin(7x)

Given:

The given expression is

We need to determine the simplified value of the given expression.

Simplification:

Since, the given expression is in the form of , the given expression can be simplified using the identity

Comparing the given expression with the identity, we get;

and

Using this in the identity, we get;

Simplifying, we get;

Thus, the simplified value of the given expression is

Hence, Option c is the correct answer.

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step-by-step explanation:

step-by-step explanation:

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