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

Level 1

This math topic focuses on practicing trigonometry fundamentals at an advanced level, specifically within the unit circle. Students are tasked with identifying the coordinates (cosine and sine values) for points on the unit circle at various degree positions, such as 150°, 60°, 225°, 360°, and 330°. Each question presents a visual depiction of the unit circle along with multiple-choice answers to validate the correct trigonometric coordinates corresponding to specified angles. The skills practiced involve applying knowledge of trigonometric functions' values on the unit circle at increments of 30 degrees.

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

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

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Trigonometry, Unit Circle - Picture (Degrees) to Cos/Sin Coordinates ...
1
An svg image showing a math problem
What are the coordinates of the unit circle point at 150°
a A LaTex expression showing (\cos{(150 to the power of circle )},\sin{(150 to the power of circle )})
b A LaTex expression showing (\sin{(150 to the power of circle )},\cos{(150 to the power of circle )})
2
An svg image showing a math problem
What are the coordinates of the unit circle point at 60°
a A LaTex expression showing (\cos{(60 to the power of circle )},\sin{(60 to the power of circle )})
b A LaTex expression showing (\sin{(60 to the power of circle )},\cos{(60 to the power of circle )})
3
An svg image showing a math problem
What are the coordinates of the unit circle point 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 )})
4
An svg image showing a math problem
What are the coordinates of the unit circle point 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 )})
5
An svg image showing a math problem
What are the coordinates of the unit circle point 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 )})
6
An svg image showing a math problem
What are the coordinates of the unit circle point 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 )})
7
An svg image showing a math problem
What are the coordinates of the unit circle point at 60°
a A LaTex expression showing (\sin{(60 to the power of circle )},\cos{(60 to the power of circle )})
b A LaTex expression showing (\cos{(60 to the power of circle )},\sin{(60 to the power of circle )})
8
An svg image showing a math problem
What are the coordinates of the unit circle point at 30°
a A LaTex expression showing (\sin{(30 to the power of circle )},\cos{(30 to the power of circle )})
b A LaTex expression showing (\cos{(30 to the power of circle )},\sin{(30 to the power of circle )})