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

Level 1

This math topic focuses on trigonometry, specifically on identifying coordinates of points on the unit circle given their angle measures in degrees. Problems involve commonly used angles, such as 45°, 360°, 60°, 180°, and 150°, and require students to determine their corresponding coordinates. Each question offers multiple-choice answers, reinforcing understanding of sine and cosine values at specific angles. This is an introductory exercise meant to build familiarity with trigonometric concepts and 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 - Picture (Degrees) to Coordinates (30s) Worksheet

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Trigonometry, Unit Circle - Picture (Degrees) to Coordinates (30s)
1
An svg image showing a math problem
What are the coordinates of the unit circle point at 45°
a A LaTex expression showing (-\frac{square root of 2}{2},\frac{square root of 2}{2})
b A LaTex expression showing (\frac{square root of 2}{2},\frac{square root of 2}{2})
2
An svg image showing a math problem
What are the coordinates of the unit circle point at 360°
a A LaTex expression showing (1,0)
b A LaTex expression showing (-1,0)
3
An svg image showing a math problem
What are the coordinates of the unit circle point at 60°
a A LaTex expression showing (1 over 2 ,\frac{square root of 3}{2})
b A LaTex expression showing (-1 over 2 ,\frac{square root of 3}{2})
4
An svg image showing a math problem
What are the coordinates of the unit circle point at 45°
a A LaTex expression showing (\frac{square root of 2}{2},\frac{square root of 2}{2})
b A LaTex expression showing (\frac{square root of 3}{2},1 over 2 )
5
An svg image showing a math problem
What are the coordinates of the unit circle point at 180°
a A LaTex expression showing (0,1)
b A LaTex expression showing (-1,0)
6
An svg image showing a math problem
What are the coordinates of the unit circle point at 150°
a A LaTex expression showing (-\frac{square root of 3}{2},1 over 2 )
b A LaTex expression showing (1 over 2 ,\frac{square root of 3}{2})
7
An svg image showing a math problem
What are the coordinates of the unit circle point at 45°
a A LaTex expression showing (\frac{square root of 2}{2},\frac{square root of 2}{2})
b A LaTex expression showing (-\frac{square root of 3}{2},1 over 2 )
8
An svg image showing a math problem
What are the coordinates of the unit circle point at 60°
a A LaTex expression showing (1 over 2 ,\frac{square root of 3}{2})
b A LaTex expression showing (\frac{square root of 2}{2},\frac{square root of 2}{2})