SOLUTION: Evaluate cot(11pi/6) to the nearest hundredth (given in radians).

SOLUTION: Evaluate cot(11pi/6) to the nearest hundredth (given in radians).

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Question 481733: Evaluate cot(11pi/6) to the nearest hundredth (given in radians).
Answer by mathstutor494(120) (Show Source): You can put this solution on YOUR website!
As the angle is 11pi/6, then its reference angle is 2pi-11pi/6= pi/6
Further, as the reference angle lies in IV quadrant, hence
cot(11pi/6)= -cot(pi/6) = -cos(pi/6)/sin(pi/6)
-((sqrt3)/2)/(1/2)
-(sqrt3/2)*(2/1)
-(sqrt3)
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