Question

Find all solutions of the equation in the interval $[0, 2\pi)$. \\ $2 \cos \frac{x}{2} - 1 = 0$ \\ Write your answer in radians in terms of $\pi$

          Find all solutions of the equation in the interval $[0, 2\pi)$. \\
$2 \cos \frac{x}{2} - 1 = 0$ \\
Write your answer in radians in terms of $\pi$

Find all solutions of the equation in the interval [0, 2π).

2 cos(x)/(2) - 1 = 0

Write your answer in radians in terms of π

Added by Derek B.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Darshan Maheshwari

10/30/2021

Step 1

2cos((x)/(2))-1=0 2cos((x)/(2))=1 cos((x)/(2))=1/2 (x)/(2)=π/3 or (x)/(2)=5π/3 x=2π/3 or x=10π/3 However, since we are looking for solutions in the interval [0,2\pi), we need to check if these solutions fall within the interval. x=2π/3 is within the interval Show more…

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