Question

an angle of 300 ° is in standard position. what are the coordinates of the point ay which the terminal side intersects the unit circle

Answer 1

Answer:Answer(x,y)=(1/2, - (√3)/2)

Explanation:

x= cos 60⁰,

y= - sin 60⁰.

x= cos 60⁰= 1/2

y= - sin 60⁰ = - (√3)/2,

Answer(x,y)=(1/2, - (√3)/2)

Answer 2

300⁰ is on the 4th quadrant.
In the forth quadrant " x -value" is positive, "y-value is negative".
Reference angle for 300⁰ is 60⁰ to x-axis clockwise.
Because we have the terminal side that intersect unit circle, the absolute value of x is going to be cos 60⁰, and y is going to be sin of 60⁰.

So,
x= cos 60⁰,
y= - sin 60⁰.

x= cos 60⁰= 1/2
y= - sin 60⁰ = - (√3)/2,

Answer(x,y)=(1/2, - (√3)/2)