Trigonometric Identities

To solve for given that , we start by taking the natural logarithm on both sides of the equation:

This gives:

Now, differentiate both sides with respect to . For the left side, apply the product rule:

Thus, the derivative of the left side is:

For the right side, apply the product rule:

The derivative of the right side is:

Equate the derivatives:

Rearrange to solve for :

Factor out :

Solve for :

Thus, the solution is: