Find all solutions of the equation in the interval 0, 2n). 2 cosx+7 cosx-4=0
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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![**Equation Solution in the Interval [0, 2π]**
**Problem:**
Find all solutions of the equation in the interval \([0, 2\pi)\):
\[2 \cos^2 x + 7 \cos x - 4 = 0\]
**Instructions:**
Write your answer in radians in terms of \(\pi\).
If there is more than one solution, separate them with commas.
**Solution:**
\[x = \frac{\pi}{3}, \frac{5\pi}{3}\]
We solve for \(x\) in radians, and the particular values in terms of \(\pi\) are provided. Ensure to separate multiple solutions with commas as shown.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0dfc224-8112-43c8-89c5-20bbfd4e421c%2F786c917c-a986-4a16-95de-a8f7c0c4b1ac%2Fi4na36r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Equation Solution in the Interval [0, 2π]**
**Problem:**
Find all solutions of the equation in the interval \([0, 2\pi)\):
\[2 \cos^2 x + 7 \cos x - 4 = 0\]
**Instructions:**
Write your answer in radians in terms of \(\pi\).
If there is more than one solution, separate them with commas.
**Solution:**
\[x = \frac{\pi}{3}, \frac{5\pi}{3}\]
We solve for \(x\) in radians, and the particular values in terms of \(\pi\) are provided. Ensure to separate multiple solutions with commas as shown.
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