Use an algebraic approach to solve the equation cos((1)/(2)x) = (√(3))/(2). If n is an integer,

Question

Use an algebraic approach to solve the equation $cos(\frac{1}{2}x) = \frac{\sqrt{3}}{2}$. If $n$ is an integer, the general solution to this equation is $\frac{\pi}{3} + 4n\pi$; $\frac{11\pi}{3} + 4n\pi$; $\frac{\pi}{6} + 4n\pi$; $\frac{5\pi}{6} + 4n\pi$; $\frac{\pi}{3} + 2n\pi$ $\frac{\pi}{3} + 2n\pi$; $\frac{11\pi}{3} + 2n\pi$

          Use an algebraic approach to solve the equation $cos(\frac{1}{2}x) = \frac{\sqrt{3}}{2}$. If $n$ is an integer, the general solution to this equation is
$\frac{\pi}{3} + 4n\pi$; $\frac{11\pi}{3} + 4n\pi$;
$\frac{\pi}{6} + 4n\pi$; $\frac{5\pi}{6} + 4n\pi$;
$\frac{\pi}{3} + 2n\pi$
$\frac{\pi}{3} + 2n\pi$; $\frac{11\pi}{3} + 2n\pi$

Use an algebraic approach to solve the equation cos((1)/(2)x) = (√(3))/(2). If n is an integer, the general solution to this equation is
(π)/(3) + 4nπ; (11π)/(3) + 4nπ;
(π)/(6) + 4nπ; (5π)/(6) + 4nπ;
(π)/(3) + 2nπ
(π)/(3) + 2nπ; (11π)/(3) + 2nπ

Added by Claudia D.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Md. Tajrian Taher

09/09/2021

Step 1

Step 1: The cosine function has a value of $\frac{\sqrt{3}}{2}$ at $\frac{\pi}{6}$ and $\frac{11\pi}{6}$. Show more…

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Use an algebraic approach to solve the equation $cos(\frac{1}{2}x) = \frac{\sqrt{3}}{2}$. If n is an integer, the general solution to this equation is $\frac{\pi}{3} + 4n\pi$; $\frac{11\pi}{3} + 4n\pi$; $\frac{\pi}{6} + 4n\pi$; $\frac{5\pi}{6} + 4n\pi$; $\frac{\pi}{3} + 2n\pi$ $\frac{\pi}{3} + 2n\pi$; $\frac{11\pi}{3} + 2n\pi$;