Question

evalvuate cot(-101pi/3)
please help​

Answer 1

Answer: -1/sqrt3

First convert -101pi/3 into degrees

(-101*180)/3=6060°

Find the same angel as 6060° by subtracting n360°

6060°-(16*360°)=300°

Reference angle is 60° as 300°+60°=360°

Cot is a reciprocal of tangent and tangent is a negative value on quadrant 4.

-Tangent 60°=-sqrt3

And reciprocal of that is -1/sqrt 3