Use the point on the unit circle to find the value of the three trigonometric functions below. Enter the exact answers. sint= tant = sect= & √3 2 Show your work and explain, in your own words, how you arrived at Iyour answers.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**Trigonometric Functions on the Unit Circle**

Use the point on the unit circle to find the value of the three trigonometric functions below.

**Diagram Explanation:**
The diagram displays a unit circle centered at the origin of a coordinate plane. A point on the circle is labeled with coordinates \((\frac{\sqrt{3}}{2}, \frac{1}{2})\). A line from the origin to this point forms an angle \(t\) with the positive x-axis. The y-coordinate intersects the circle at \(\frac{1}{2}\), and the x-coordinate intersects at \(\frac{\sqrt{3}}{2}\).

**Trigonometric Functions:**

Calculate the following by using the given point on the unit circle:

- \(\sin t =\)
- \(\tan t =\)
- \(\sec t =\)

**Instructions:**
Enter the exact answers.

**Explanation Requirement:**
Show your work and explain, in your own words, how you arrived at your answers.

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Transcribed Image Text:--- **Trigonometric Functions on the Unit Circle** Use the point on the unit circle to find the value of the three trigonometric functions below. **Diagram Explanation:** The diagram displays a unit circle centered at the origin of a coordinate plane. A point on the circle is labeled with coordinates \((\frac{\sqrt{3}}{2}, \frac{1}{2})\). A line from the origin to this point forms an angle \(t\) with the positive x-axis. The y-coordinate intersects the circle at \(\frac{1}{2}\), and the x-coordinate intersects at \(\frac{\sqrt{3}}{2}\). **Trigonometric Functions:** Calculate the following by using the given point on the unit circle: - \(\sin t =\) - \(\tan t =\) - \(\sec t =\) **Instructions:** Enter the exact answers. **Explanation Requirement:** Show your work and explain, in your own words, how you arrived at your answers. ---
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