Solve the equation Sin (20) = -'/2 /2 on the internal [o, 2) Cos 4x = cot (3x)=1 Cos 20/s =-1 %3D

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°.
Question
**Solve the Equations on the Interval [0, 2π)**

1. \( \sin(2\theta) = -\frac{1}{2} \)

2. \( \cos(4x) = -\frac{1}{2} \)

3. \( \cot(3x) = 1 \)

4. \( \cos\left(\frac{2\theta}{5}\right) = -1 \)

---

Each equation is to be solved within the specified interval. Make sure to find all possible solutions for each trigonometric function.
Transcribed Image Text:**Solve the Equations on the Interval [0, 2π)** 1. \( \sin(2\theta) = -\frac{1}{2} \) 2. \( \cos(4x) = -\frac{1}{2} \) 3. \( \cot(3x) = 1 \) 4. \( \cos\left(\frac{2\theta}{5}\right) = -1 \) --- Each equation is to be solved within the specified interval. Make sure to find all possible solutions for each trigonometric function.
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