V5 3 If cos(a)= and sin(B) = 풍

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°.
icon
Related questions
Question
If \( \cos(\alpha) = -\frac{\sqrt{5}}{5} \) and \( \sin(\beta) = -\frac{3}{5} \) with \( \frac{\pi}{2} < \alpha < \pi \) and \( \frac{3\pi}{2} < \beta < 2\pi \), compute the exact value of the following:

- \( \cos(\alpha + \beta) = \) [ ]
- \( \sin(\alpha - \beta) = \) [ ]
- \( \tan(\alpha - \beta) = \) [ ]
Transcribed Image Text:If \( \cos(\alpha) = -\frac{\sqrt{5}}{5} \) and \( \sin(\beta) = -\frac{3}{5} \) with \( \frac{\pi}{2} < \alpha < \pi \) and \( \frac{3\pi}{2} < \beta < 2\pi \), compute the exact value of the following: - \( \cos(\alpha + \beta) = \) [ ] - \( \sin(\alpha - \beta) = \) [ ] - \( \tan(\alpha - \beta) = \) [ ]
Expert Solution
Step 1

Trigonometry homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning