SOLUTION: Explain how to find the exact value of cot 5pi/3 including quadrant location

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Question 1081638: Explain how to find the exact value of cot 5pi/3 including quadrant location
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
There are +2pi+ radians in the unit circle
+6pi%2F3+=+2pi+
+5pi%2F3+=+6pi%2F3+-+pi%2F3+
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This shows that +5pi%2F3+ is an angle in the
4th quadrant and is the same as +-pi%2F3+
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+cot%28+-pi%2F3+%29+=+1%2F%28-sqrt%283%29%29+
+cot%28+5pi%2F3+%29+=+-1%2Fsqrt%283%29+
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The sides of the triangle are in these ratios:
opposite +pi%2F6+ angle: +1
opposite +pi%2F3+ angle: +sqrt%283%29+
also:
+1%5E2+%2B+sqrt%283%29%5E2+=+2%5E2+