Question #f6623

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Question #f6623

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Answer 1 · 2017-03-12T02:26:19

$x=frac(pi)(3)+2pin$ and $x=-frac(pi)(3)+2pin$

Explanation:

Add $2$ to both sides of the equation, and then divide by $4$ . We get that $cos(x)=frac(1)(2)$ .
On the unit circle, cosine is positive in Quadrants 1 and 4. $cos(x)=frac(1)(2)$ when $x=frac(pi)(3)$ , or when $x=-frac(pi)(3)$ . However, the period of the cosine graph is every $2pi$ , so if $n$ is our integer constant, then $x=frac(pi)(3)+2pin$ and $x=-frac(pi)(3)+2pin$ .

If you do not want the " $-frac(pi)(3)$ ", this is equivalent to $frac(5pi)(3)$ .

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Question #f6623

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