The uploaded image contains mathematical exercises involving trigonometric identities, conversions, verifications, and simplifications. Let me analyze the text in detail to assist you effectively.

Here's a breakdown of what I observe:

1. Trigonometric Conversions

   • Questions involving rewriting expressions like $\cos^2(\theta)$ and $\sin^2(\theta)$ using trigonometric identities.

2. Proving Trigonometric Identities

   • Problems include proving identities and simplifying expressions involving $\sin$, $\cos$, and $\tan$.

3. Verification of Trigonometric Equations

   • Requires verifying expressions using identities such as $\tan$, $\sin^2(\theta)$, or combinations.

4. Expressing Equations in Simpler Forms

   • Tasks include reducing given equations using formulas like $\sin^2 + \cos^2 = 1$ or simplifying sums/products of trigonometric terms.

5. Expression Problems

   • Solving or simplifying expressions involving products and sums of $\cos$, $\sin$, or other terms.

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