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Trigonometry, Unit Circle - Angle (Degrees) to Cos/Sin Coordinates (30s)

Level 1

This math topic focuses on determining the coordinates of points on a unit circle for given angles, expressed in degrees. It develops advanced skills in trigonometry, specifically requiring students to find the sine and cosine values for specific angles, such as 90°, 150°, 210°, 270°, and others typically in 30° increments. Each question presents an angle and asks for the corresponding point's coordinates on the unit circle, reinforcing the relationship between angle measures and their sine and cosine values, crucial for understanding the circular functions in trigonometry.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Trigonometry, Unit Circle - Angle (Degrees) to Cos/Sin Coordinates (30s) Worksheet

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Trigonometry, Unit Circle - Angle (Degrees) to Cos/Sin Coordinates (3...
1
150°
What are the coordinates of the point on the unit circle at 150°?
a A LaTex expression showing (\sin{(150 to the power of circle )},\cos{(150 to the power of circle )})
b A LaTex expression showing (\cos{(150 to the power of circle )},\sin{(150 to the power of circle )})
2
360°
What are the coordinates of the point on the unit circle at 360°?
a A LaTex expression showing (\cos{(360 to the power of circle )},\sin{(360 to the power of circle )})
b A LaTex expression showing (\sin{(360 to the power of circle )},\cos{(360 to the power of circle )})
3
330°
What are the coordinates of the point on the unit circle at 330°?
a A LaTex expression showing (\cos{(330 to the power of circle )},\sin{(330 to the power of circle )})
b A LaTex expression showing (\sin{(330 to the power of circle )},\cos{(330 to the power of circle )})
4
90°
What are the coordinates of the point on the unit circle at 90°?
a A LaTex expression showing (\cos{(90 to the power of circle )},\sin{(90 to the power of circle )})
b A LaTex expression showing (\sin{(90 to the power of circle )},\cos{(90 to the power of circle )})
5
210°
What are the coordinates of the point on the unit circle at 210°?
a A LaTex expression showing (\sin{(210 to the power of circle )},\cos{(210 to the power of circle )})
b A LaTex expression showing (\cos{(210 to the power of circle )},\sin{(210 to the power of circle )})
6
300°
What are the coordinates of the point on the unit circle at 300°?
a A LaTex expression showing (\cos{(300 to the power of circle )},\sin{(300 to the power of circle )})
b A LaTex expression showing (\sin{(300 to the power of circle )},\cos{(300 to the power of circle )})
7
270°
What are the coordinates of the point on the unit circle at 270°?
a A LaTex expression showing (\cos{(270 to the power of circle )},\sin{(270 to the power of circle )})
b A LaTex expression showing (\sin{(270 to the power of circle )},\cos{(270 to the power of circle )})
8
180°
What are the coordinates of the point on the unit circle at 180°?
a A LaTex expression showing (\cos{(180 to the power of circle )},\sin{(180 to the power of circle )})
b A LaTex expression showing (\sin{(180 to the power of circle )},\cos{(180 to the power of circle )})