SOLUTION: solve the multi-angle equation cot X/2= sq root of 3/3

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Question 349637: solve the multi-angle equation
cot X/2= sq root of 3/3
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
cot%28x%2F2%29+=+sqrt%283%29%2F3
If you know your special angles well, then you know that the reference angle for this is pi%2F6. And since cot is positive in the first and third quadrants:
x%2F2+=+pi%2F6+%2B+2%2Api%2An (where n i s any integer)
or
x%2F2+=+pi+%2B+pi%2F6+%2B+2%2Api%2An+=+%287%2Api%29%2F6+%2B+2%2Api%2An (where n i s any integer)
To solve for x we just multiply each side of each equation by 2:
x+=+pi%2F3+%2B+4%2Api%2An (where n i s any integer)
or
x+=+%287%2Api%29%2F3+%2B+4%2Api%2An (where n i s any integer)