Stuck on math

Question

What are the coordinates of the point that corresponds to 7π6 on the unit circle?



(−3√2,−12)

(−3√2,12)

(3√2,−12)

(−12,−3√2)

Answer 1

Lets rewrite the given angle as a sum or difference of two reference angles we are familiar with on the unit circle.

 

7π/6 = (6π/6) +( π/6)

        = π + (π/6)

 

π is on the axis between the 2nd and 3rd quadrants.  Since we are adding π/6, we move the angle that lies on axis counterclockwise.  When we do, we end up in the 3rd quadrant.

 

Your coordinate is  (-cos(π/6) , -sin(π/6))

 

 

Answer 2

Do you mean 7∏/6 ?

If so, 7∏/6 is 210º which is in the third quadrant.

(-√3/2, -1/2)