SOLUTION: How do I find the exact values of all the angles between 0 rad and 2pi rad for which cos(x)=-square root 3 / 2?

Question 790215: How do I find the exact values of all the angles between 0 rad and 2pi rad for which cos(x)=-square root 3 / 2?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The graph of looks like this:

Sine and cosine range from -1 to 1, and have a period of (4 quadrants).
Over a period, they go full circle, up to 1, down to -1, and back.
So, within a period, they go twice through any value other than the extremes, -1 and 1, once on the way up, and another time on the way down, and in different quadrants.
in quadrants II (), and III (, so there will be a solution for in each of those quadrants.
is one of 5 numbers that you will see in many problems about trigonometric function values.
is the opposite value, corresponding to the supplementary angle, and to .
Points

, and

are circled

EXTRA:
The 5 trigonometric function values that you will often see:

RELATED QUESTIONS
Find all the exact t-values for which cos(t)= Square root of... (answered by lwsshak3)

Hello Tutors...thank you for all your help on this site.Here's my question:2+log rad 1+x... (answered by greenestamps)

Use the unit circle to find all values of θ between 0 and 2π for which the... (answered by Alan3354,KMST,MathTherapy)

given that 0<∝<2π rad. find all the values of... (answered by Alan3354)

Is the cube root of -54 either: -3 rad. 2 or 3 rad. -2 And why is it... (answered by tommyt3rd)

I have 2 questions" 1)Find all values of θ that satisfy the equation over the... (answered by rothauserc)

Find all the exact t-values which are solutions for the following: 1) Sin(t)= Square (answered by richwmiller)

How do i find the exact values of x for which 3(2x-1)^2+2(2x-1)-8=0? (answered by lwsshak3)

I need your help to simplify the following expression by combing as many terms as... (answered by rapaljer,stanbon)