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

Level 1

This math topic focuses on trigonometric functions using the unit circle. It emphasizes identifying the cosine and sine coordinates at specified angles, particularly in multiples of 45 degrees. Students determine the coordinates of points on the unit circle given different degree measurements. The angles featured include 45°, 90°, 135°, 180°, and 315°. The practice questions require converting visual or angle-based information to exact trigonometric coordinates. This is an advanced topic in trigonometry fundamentals, enhancing students' understanding of trigonometric relationships 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 Cos/Sin Coordinates (45s) 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 135°
a A LaTex expression showing (\cos{(135 to the power of circle )},\sin{(135 to the power of circle )})
b A LaTex expression showing (\sin{(135 to the power of circle )},\cos{(135 to the power of circle )})
2
An svg image showing a math problem
What are the coordinates of the unit circle point at 315°
a A LaTex expression showing (\sin{(315 to the power of circle )},\cos{(315 to the power of circle )})
b A LaTex expression showing (\cos{(315 to the power of circle )},\sin{(315 to the power of circle )})
3
An svg image showing a math problem
What are the coordinates of the unit circle point 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 )})
4
An svg image showing a math problem
What are the coordinates of the unit circle point 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 )})
5
An svg image showing a math problem
What are the coordinates of the unit circle point 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 )})
6
An svg image showing a math problem
What are the coordinates of the unit circle point 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 )})
7
An svg image showing a math problem
What are the coordinates of the unit circle point 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 )})
8
An svg image showing a math problem
What are the coordinates of the unit circle point 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 )})