Question - Challenging Trigonometric Identities and Proofs

The image is not clear enough to provide a full solution to a specific problem, but I will provide a general approach to solving trigonometric identities and proofs.

1. Identify the trigonometric identity or equation you need to prove or solve.

2. Use known trigonometric identities such as sin^2(x) + cos^2(x) = 1, tan(x) = sin(x)/cos(x), and 1 + tan^2(x) = sec^2(x) to manipulate the equation.

3. Substitute trigonometric functions with equivalent expressions when possible.

4. Factor and simplify the expressions where necessary.

5. Check if the obtained equation satisfies the identity or theorem you are proving.

Due to the unclear nature of the image, this is a general method for tackling trigonometric problems rather than a solved equation from the image.