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Trigonometry, Unit Circle - Picture (Degrees) to Coordinates (45s)

Level 1

This math topic focuses on trigonometry, specifically identifying coordinates on the unit circle at various degree measures limited to multiples of 45 degrees. Each problem asks learners to match specific degree measurements with their corresponding coordinates on a unit circle. These skills are part of an introductory unit on trigonometry and the unit circle, designed to deepen understanding of the relationships between angles and coordinates.

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 (45s) Worksheet

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Trigonometry, Unit Circle - Picture (Degrees) to Coordinates (45s)
1
An svg image showing a math problem
What are the coordinates of the unit circle point at 315°
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 180°
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 45°
a A LaTex expression showing (\frac{square root of 2}{2},\frac{square root of 2}{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 360°
a A LaTex expression showing (1,0)
b A LaTex expression showing (0,1)
5
An svg image showing a math problem
What are the coordinates of the unit circle point at 135°
a A LaTex expression showing (-\frac{square root of 2}{2},\frac{square root of 2}{2})
b A LaTex expression showing (1 over 2 ,\frac{square root of 3}{2})
6
An svg image showing a math problem
What are the coordinates of the unit circle point at 180°
a A LaTex expression showing (-1,0)
b A LaTex expression showing (1,0)
7
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)
8
An svg image showing a math problem
What are the coordinates of the unit circle point at 225°
a A LaTex expression showing (-\frac{square root of 2}{2},-\frac{square root of 2}{2})
b A LaTex expression showing (-1 over 2 ,-\frac{square root of 3}{2})