When you’re solving trigonometric equations, it’s easy to make some common mistakes. Here are a few that you should try to avoid:

1. Ignoring the Domain: Always check the specific range for the problem. Sometimes, solutions might not work in the given range, which can be confusing.

2. Not Considering All Solutions: Trigonometric functions repeat. For example, if you find an angle like $\theta = 30^\circ$, there are more answers. You should also consider angles like $\theta = 180^\circ - 30^\circ$ and others like $30^\circ + 360^\circ k$, where $k$ is any whole number.

3. Miscalculating Values: Make sure to double-check your sine, cosine, and tangent values. A tiny mistake can change the entire answer.

4. Factoring Errors: Be careful when simplifying equations. Always check that each step you take is correct and makes sense.

5. Neglecting Signs: Trigonometric equations can change signs when you factor them. Make sure to look closely at the signs of your expressions before finalizing your answer.

By keeping these tips in mind, solving trigonometric equations will be easier!