https://r2.erweima.ai/mathbot/image/1726449387084h9p7e4la.pdf

The uploaded document is a math practice exercise focusing on trigonometric functions and identities. Here is a breakdown of the exercises:

1. **Find the six trigonometric functions of θ in each triangle.**
2. **Find the exact value of \( x \) and \( y \).**
3. **A real-world application problem**: Estimating the distance of a student from Mount Fuji using a given angle of elevation.
4. **Verify the identity by transforming the left side into the right side.**
5. **Verify additional trigonometric identities.**

Would you like me to solve a specific problem or provide more detailed explanations for any of these exercises?

Here are five follow-up questions related to these topics:
1. How do you derive the six trigonometric functions from a right triangle?
2. What are some common trigonometric identities that are useful in verification problems?
3. How do you use trigonometry to find distances or heights in real-life scenarios?
4. What strategies can be employed to simplify complex trigonometric expressions?
5. How can notable angles (like 30°, 45°, 60°) help in solving trigonometric problems?

**Tip:** When verifying trigonometric identities, always start by simplifying one side of the equation using fundamental identities like the Pythagorean identities or reciprocal identities.

The uploaded document is a math practice exercise focusing on trigonometric functions and identities. The exercises involve finding trigonometric functions for angles, solving for variables, estimating distances using angles of elevation, and verifying trigonometric identities.

This practice exercise focuses on trigonometric functions, identities, and real-world applications such as estimating distances using angles of elevation. It includes solving for variables in triangles and verifying trigonometric identities, suitable for Grade 10 students.

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