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What is the exact value of cot(4pi/3)?

Do not use a calculator.

1 answer

4pi/3 is in quadrant III
the tangent of a 3rd quadrant angle is positive so
cot(4pi/3)
= 1/tan(4pi/3) , the angle in standard position is pi/3
= 1/tanpi/3
= 1/√3
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