H T J F E D F1 C O K L N M Use the above figure to find exact values of the sine and cosine of the special angles listed below. Enter √w as sqrt( w). sin(E)= cos(E)= sin(G) = cos(G) = sin(P) = cos(P) = Question Help: Message instructor + Type here to search El * DE Esc F6 B Î P F2 F3 F4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 3E
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### Sine and Cosine of Special Angles

**Instructions:**

Use the figure below to find exact values of the sine and cosine of the special angles listed. Enter \( \sqrt{w} \) as sqrt(w).

**Figure:**

The figure is a circle divided into 16 equal sections (each section representing an angle), with each angle originating from the center of the circle.

**Labels on Figure:**

- Angles are marked around the circle along the circumference from A to P in a clockwise manner.
- A is marked on the positive x-axis.
- E is at the top (positive y-axis).
- I is on the negative x-axis.
- M is at the bottom (negative y-axis).

**Form Fields:**

You need to fill in the values of sine and cosine for the special angles with the following labels:

- \(\sin(E) = \)
- \(\sin(G) = \)
- \(\sin(P) = \)
- \(\cos(E) = \)
- \(\cos(G) = \)
- \(\cos(P) = \)

You can refer to the positions of these points on the unit circle and use standard trigonometric values accordingly.

For example, given the positions:
- E is at the positive y-axis at 90 degrees or π/2 radians.
- G might represent a point at a different angle which you’ll need to deduce based on the circle's partition.
- P is likely one of the special angles at which the sine and cosine are well-known.

**Question Help:**

If you need any assistance, you can message the instructor for clarification.

Please fill out the appropriate sine and cosine values in the provided fields.
Transcribed Image Text:### Sine and Cosine of Special Angles **Instructions:** Use the figure below to find exact values of the sine and cosine of the special angles listed. Enter \( \sqrt{w} \) as sqrt(w). **Figure:** The figure is a circle divided into 16 equal sections (each section representing an angle), with each angle originating from the center of the circle. **Labels on Figure:** - Angles are marked around the circle along the circumference from A to P in a clockwise manner. - A is marked on the positive x-axis. - E is at the top (positive y-axis). - I is on the negative x-axis. - M is at the bottom (negative y-axis). **Form Fields:** You need to fill in the values of sine and cosine for the special angles with the following labels: - \(\sin(E) = \) - \(\sin(G) = \) - \(\sin(P) = \) - \(\cos(E) = \) - \(\cos(G) = \) - \(\cos(P) = \) You can refer to the positions of these points on the unit circle and use standard trigonometric values accordingly. For example, given the positions: - E is at the positive y-axis at 90 degrees or π/2 radians. - G might represent a point at a different angle which you’ll need to deduce based on the circle's partition. - P is likely one of the special angles at which the sine and cosine are well-known. **Question Help:** If you need any assistance, you can message the instructor for clarification. Please fill out the appropriate sine and cosine values in the provided fields.
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