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Use The Properties Of 30-60-90 Triangles To Find The Coordinate Points At The 〖60〗^° (π/3 radian) Angle Measure On The Unit Circle

If coordinates of the point are (12,32)\left(\frac{1}{2},-\frac{\sqrt{3}}{2}\right)then find the angle.

 Is the sentence true or false?

The sine function of an angle t equals the y-value of the endpoint on the unit circle of an arc of length t.

Find the x-coordinate of the point (x ,y ) where the terminal side of the 600 angle intersects the unit circle.

Find the y-coordinate of the point (x ,y ) where the terminal side of the 600 angle intersects the unit circle.

 If coordinates of the point are (0,1) then find the angle.

Find the y-coordinate of the point (x ,y ) where the terminal side of the 900 angle intersects the unit circle.

 Find the x-coordinate of the point (x ,y ) where the terminal side of the 300 angle intersects the unit circle.

Find the x-coordinate of the point (x ,y ) where the terminal side of the 900 angle intersects the unit circle.

 Find the y-coordinate of the point (x ,y ) where the terminal side of the 300 angle intersects the unit circle.

 Is the sentence true or false?

 In a 30 -60 -90 triangle, the ratio of angles is 1:2:3.