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The image contains two sections related to trigonometry problems.

1. **Section I:**
   It asks to determine the value of reciprocal trigonometric functions for given angles and compute the results. For example:
   - \( \sin 76^\circ \)
   - \( \cos 28^\circ 40' \)
   - \( \tan 16.5^\circ \)

2. **Section II:**
   It provides the value of a trigonometric ratio and requires finding the corresponding angle in degrees, minutes, and seconds. For example:
   - \( \sin \theta = 0.2686 \)
   - \( \cos \theta = 0.7880 \)
   - \( \tan \theta = 7.1153 \)

Would you like me to solve problems from either Section I or II? You can specify which question you'd like assistance with.

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Here are 5 possible follow-up questions:
1. How do you calculate the angle from a trigonometric ratio?
2. What is the relationship between trigonometric functions and their reciprocals?
3. Can you show the process of converting decimals into degrees, minutes, and seconds?
4. How do you solve for an angle if given the value of sec, csc, or cot?
5. What are the exact values of some common trigonometric angles?

**Tip:** When finding angles from trigonometric ratios, using a calculator in inverse mode (e.g., \(\sin^{-1}\), \(\cos^{-1}\)) is essential!

The image contains a list of trigonometric problems, asking to determine the value of reciprocal trigonometric functions for given angles and compute the results.

Explore solving trigonometric problems involving calculations of sin, cos, tan and their reciprocals. This page covers how to find angles from given trigonometric values using inverse functions, suitable for high school students.

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