5-/41 If cos(a) = and sin(8) = 41
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°.
Related questions
Question
![If \(\cos(\alpha) = -\frac{5 \cdot \sqrt{41}}{41}\) and \(\sin(\beta) = -\frac{\sqrt{2}}{2}\) with \(\frac{\pi}{2} < \alpha < \pi\) and \(\frac{3\pi}{2} < \beta < 2\pi\), compute the exact value of the following:
1. \(\cos(\alpha + \beta) = \) [Input box]
2. \(\sin(\alpha - \beta) = \) [Input box]
3. \(\tan(\alpha - \beta) = \) [Input box]
Note: There are no graphs or diagrams in this image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F53dc3663-7fd1-433e-97d7-8ab208c305a6%2Fef0adb69-8a8d-42a1-a6f9-c0fc61cb9c2e%2Fn7qatnh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If \(\cos(\alpha) = -\frac{5 \cdot \sqrt{41}}{41}\) and \(\sin(\beta) = -\frac{\sqrt{2}}{2}\) with \(\frac{\pi}{2} < \alpha < \pi\) and \(\frac{3\pi}{2} < \beta < 2\pi\), compute the exact value of the following:
1. \(\cos(\alpha + \beta) = \) [Input box]
2. \(\sin(\alpha - \beta) = \) [Input box]
3. \(\tan(\alpha - \beta) = \) [Input box]
Note: There are no graphs or diagrams in this image.
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