The number pi3 determines a point on the unit circle with co

The number pi/3 determines a point on the unit circle with coordinates (1/2, squareroot 3/2). What are the coordinates of the point determined by - pi/3? The coordinates of the point determined by - pi/3 are. (Type an ordered pair. Type an integer or a fraction. Type exact answers for each coordinate, using radicals as needed.)

Solution

A circle with radius is 1 and centre at origin

x² +y² = 1

here /3 denote the point (1/2, sqrt3/2)

x=cos/3 ,y= sin/3

then the number -/3 denote

x=cos(-/3)=1/2 ,y= sin(-/3)= -sqrt3/2

(x,y) = (1/2, -sqrt3/2)

the cordinate of the point -/3 is the image of the cordinate of the point /3 in x-axis