2 3π 2 4. cos α ==, 3 -

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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can you explain question 4

**Find the exact value of the following under the given conditions:**

\[
\cos(\alpha+\beta) \quad \sin(\alpha+\beta) \quad \tan(\alpha+\beta)
\]

**3.** \(\tan \alpha = \frac{3}{4}\), \(\alpha\) lies in quadrant III, and \(\sin \beta = \frac{8}{17}\), \(\beta\) lies in quadrant II.

**4.** \(\cos \alpha = \frac{2}{3}\), \(\frac{3\pi}{2} < \alpha < 2\pi\), and \(\sin \beta = \frac{1}{5}\), \(0 < \beta < \frac{\pi}{2}\).
Transcribed Image Text:**Find the exact value of the following under the given conditions:** \[ \cos(\alpha+\beta) \quad \sin(\alpha+\beta) \quad \tan(\alpha+\beta) \] **3.** \(\tan \alpha = \frac{3}{4}\), \(\alpha\) lies in quadrant III, and \(\sin \beta = \frac{8}{17}\), \(\beta\) lies in quadrant II. **4.** \(\cos \alpha = \frac{2}{3}\), \(\frac{3\pi}{2} < \alpha < 2\pi\), and \(\sin \beta = \frac{1}{5}\), \(0 < \beta < \frac{\pi}{2}\).
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