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Trigonometry, Unit Circle - Angle (Degrees) to Cos/Sin Coordinates (45s)

Level 1

This math topic focuses on identifying the cosine and sine coordinates of specific angles on the unit circle, with angles given in increments of 45 degrees (such as 45°, 90°, 135°, etc.). It evaluates the student's ability to recognize and use the trigonometric values associated with these angles, enhancing their comprehension of the unit circle's structure and the fundamental properties of trigonometric functions. Each problem prompts the learner to determine the coordinates of points located at specified angles on the unit circle.

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 (45s) Worksheet

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Trigonometry, Unit Circle - Angle (Degrees) to Cos/Sin Coordinates (4...
1
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 )})
2
180°
What are the coordinates of the point on the unit circle at 180°?
a A LaTex expression showing (\sin{(180 to the power of circle )},\cos{(180 to the power of circle )})
b A LaTex expression showing (\cos{(180 to the power of circle )},\sin{(180 to the power of circle )})
3
45°
What are the coordinates of the point on the unit circle at 45°?
a A LaTex expression showing (\cos{(45 to the power of circle )},\sin{(45 to the power of circle )})
b A LaTex expression showing (\sin{(45 to the power of circle )},\cos{(45 to the power of circle )})
4
225°
What are the coordinates of the point on the unit circle at 225°?
a A LaTex expression showing (\sin{(225 to the power of circle )},\cos{(225 to the power of circle )})
b A LaTex expression showing (\cos{(225 to the power of circle )},\sin{(225 to the power of circle )})
5
270°
What are the coordinates of the point on the unit circle at 270°?
a A LaTex expression showing (\sin{(270 to the power of circle )},\cos{(270 to the power of circle )})
b A LaTex expression showing (\cos{(270 to the power of circle )},\sin{(270 to the power of circle )})
6
135°
What are the coordinates of the point on the unit circle at 135°?
a A LaTex expression showing (\sin{(135 to the power of circle )},\cos{(135 to the power of circle )})
b A LaTex expression showing (\cos{(135 to the power of circle )},\sin{(135 to the power of circle )})
7
315°
What are the coordinates of the point on the unit circle at 315°?
a A LaTex expression showing (\cos{(315 to the power of circle )},\sin{(315 to the power of circle )})
b A LaTex expression showing (\sin{(315 to the power of circle )},\cos{(315 to the power of circle )})
8
360°
What are the coordinates of the point on the unit circle at 360°?
a A LaTex expression showing (\sin{(360 to the power of circle )},\cos{(360 to the power of circle )})
b A LaTex expression showing (\cos{(360 to the power of circle )},\sin{(360 to the power of circle )})