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

Level 1

This topic focuses on determining the coordinates of points on the unit circle at specific angles, measured in degrees. The angles used here are multiples of 45° (examples include 45°, 135°, 225°, and 315°). Students are asked to identify the correct coordinates corresponding to given angles, advancing their skills in trigonometry and the unit circle concept. Each question presents multiple-choice answers, enhancing a learner's ability to connect visual or theoretical angle measures to their exact point representations on the circle. This is a fundamental skill in trigonometry that aids in understanding sinusoidal functions and their real-life applications.

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 Coordinates (45s) Worksheet

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Trigonometry, Unit Circle - Angle (Degrees) to Coordinates (45s)
1
45°
What are the coordinates of the point on the unit circle 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
315°
What are the coordinates of the point on the unit circle at 315°?
a A LaTex expression showing (-\frac{square root of 3}{2},-1 over 2 )
b A LaTex expression showing (\frac{square root of 2}{2},-\frac{square root of 2}{2})
3
135°
What are the coordinates of the point on the unit circle at 135°?
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})
4
360°
What are the coordinates of the point on the unit circle at 360°?
a A LaTex expression showing (0,1)
b A LaTex expression showing (1,0)
5
180°
What are the coordinates of the point on the unit circle at 180°?
a A LaTex expression showing (-1,0)
b A LaTex expression showing (0,1)
6
90°
What are the coordinates of the point on the unit circle at 90°?
a A LaTex expression showing (-1,0)
b A LaTex expression showing (0,1)
7
225°
What are the coordinates of the point on the unit circle at 225°?
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})
8
270°
What are the coordinates of the point on the unit circle at 270°?
a A LaTex expression showing (1,0)
b A LaTex expression showing (0,-1)