Trig Equation Problem

[rootofthree]

Hello again! I just have one more problem.

Solve for x. All real solutions.

cos^2 x = 3/4

I'm not sure how to start this one. I need to isolate cosine, or get rid of the square, right? But how would I go about starting that?
Any nudges in the right direction are very appreciated. And thank you very much for looking over my problem.

 

[tkhunny]

It must be "forget how to factor" day. Move the 3/4 to the left and factor like a difference of squares.

 

[Deleted member 4993]

Hello again! I just have one more problem.

Solve for x. All real solutions.

cos^2 x = 3/4

I'm not sure how to start this one. I need to isolate cosine, or get rid of the square, right? But how would I go about starting that?
Any nudges in the right direction are very appreciated. And thank you very much for looking over my problem.

Or take square root of both sides..

\(\displaystyle cos(x) \ = \ \pm\frac{\sqrt{3}}{2}\)