Use the information given about the angle 8, sec 0=4, csc 0<0, 0≤0<2, to find the exact values of the following. Ө Ө (a) sin (20), (b) cos (20), (c) sin and (d) cos 2' 2
Use the information given about the angle 8, sec 0=4, csc 0<0, 0≤0<2, to find the exact values of the following. Ө Ө (a) sin (20), (b) cos (20), (c) sin and (d) cos 2' 2
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter2: Right Triangle Trigonometry
Section: Chapter Questions
Problem 5GP
Related questions
Question
complete a-d please
![### Trigonometry Exercise: Exact Values
#### Given Information:
For an angle \( \theta \):
- \( \sec \theta = 4 \)
- \( \csc \theta < 0 \)
- \( 0 \leq \theta < 2\pi \)
### Objectives:
Use the given information to find the exact values of the following:
1. \( \sin (2\theta) \)
2. \( \cos (2\theta) \)
3. \( \sin \left(\frac{\theta}{2}\right) \)
4. \( \cos \left(\frac{\theta}{2}\right) \)
Please note: There are no graphs or diagrams in this exercise, which focuses solely on calculations based on the trigonometric identities and the given conditions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe64d88e-699f-422a-bfe6-a9c8b93abe72%2F512c637f-8706-4fea-85e2-8021d5150c49%2Fp8wx1bm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Trigonometry Exercise: Exact Values
#### Given Information:
For an angle \( \theta \):
- \( \sec \theta = 4 \)
- \( \csc \theta < 0 \)
- \( 0 \leq \theta < 2\pi \)
### Objectives:
Use the given information to find the exact values of the following:
1. \( \sin (2\theta) \)
2. \( \cos (2\theta) \)
3. \( \sin \left(\frac{\theta}{2}\right) \)
4. \( \cos \left(\frac{\theta}{2}\right) \)
Please note: There are no graphs or diagrams in this exercise, which focuses solely on calculations based on the trigonometric identities and the given conditions.
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