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12. Suppose that tan (a) =-3 and -<α<2π. 2 Find: (a) sin(2a) (b) cos(2a)

12. Suppose that tan (a) =-3 and -<α<2π. 2 Find: (a) sin(2a) (b) cos(2a)

Trigonometry (11th Edition)
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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please answer this WITHOUT A CALCULATOR! there is only ONE ANSWER! the answer choices are on the first image

9. Problem 6.2.12 a and b A. \(\sin(2\alpha) = \frac{-3\sqrt{10}}{5}\) \quad \(\cos(2\alpha) = \frac{\sqrt{10}}{5}\) B. \(\sin(2\alpha) = \frac{3}{5}\) \quad \(\cos(2\alpha) = \frac{4}{5}\) C. \(\sin(2\alpha) = \frac{-3}{5}\) \quad \(\cos(2\alpha) = \frac{-4}{5}\) D. \(\sin(2\alpha) = \frac{-3\sqrt{10}}{5}\) \quad \(\cos(2\alpha) = \frac{2\sqrt{10}}{5}\) E. \(\sin(2\alpha) = \frac{-3}{5}\) \quad \(\cos(2\alpha) = \frac{4}{5}\) F. None of the above
Transcribed Image Text:9. Problem 6.2.12 a and b A. \(\sin(2\alpha) = \frac{-3\sqrt{10}}{5}\) \quad \(\cos(2\alpha) = \frac{\sqrt{10}}{5}\) B. \(\sin(2\alpha) = \frac{3}{5}\) \quad \(\cos(2\alpha) = \frac{4}{5}\) C. \(\sin(2\alpha) = \frac{-3}{5}\) \quad \(\cos(2\alpha) = \frac{-4}{5}\) D. \(\sin(2\alpha) = \frac{-3\sqrt{10}}{5}\) \quad \(\cos(2\alpha) = \frac{2\sqrt{10}}{5}\) E. \(\sin(2\alpha) = \frac{-3}{5}\) \quad \(\cos(2\alpha) = \frac{4}{5}\) F. None of the above
**Problem 12:** Suppose that \(\tan(\alpha) = -3\) and \(\frac{3\pi}{2} < \alpha < 2\pi\). Find: (a) \(\sin(2\alpha)\) (b) \(\cos(2\alpha)\)
Transcribed Image Text:**Problem 12:** Suppose that \(\tan(\alpha) = -3\) and \(\frac{3\pi}{2} < \alpha < 2\pi\). Find: (a) \(\sin(2\alpha)\) (b) \(\cos(2\alpha)\)
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