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Trigonometry, Unit Circle Dimensions as Sin/Cos of Angle Degrees

Level 1

This math topic focuses on trigonometry, specifically calculating the sine and cosine values of various degrees using the unit circle. The problems require determining the x or y dimensions (coordinates) for points at specific angles on the unit circle, such as 30°, 60°, 150°, 210°, and 240°. Each question provides options labeled 'a' and 'b', where learners must decide whether the value corresponds to sine or cosine of the given angle. This forms part of an advanced fundamentals course in trigonometry.

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

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Trigonometry, Unit Circle Dimensions as Sin/Cos of Angle Degrees Worksheet

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Trigonometry, Unit Circle Dimensions as Sin/Cos of Angle Degrees
1
An svg image showing a math problem
What is the X dimension for the unit circle point at 30°?
a A LaTex expression showing \cos{(30 to the power of circle )}
b A LaTex expression showing \sin{(30 to the power of circle )}
2
An svg image showing a math problem
What is the X dimension for the unit circle point at 60°?
a A LaTex expression showing \sin{(60 to the power of circle )}
b A LaTex expression showing \cos{(60 to the power of circle )}
3
An svg image showing a math problem
What is the Y dimension for the unit circle point at 30°?
a A LaTex expression showing \cos{(30 to the power of circle )}
b A LaTex expression showing \sin{(30 to the power of circle )}
4
An svg image showing a math problem
What is the X dimension for the unit circle point at 30°?
a A LaTex expression showing \sin{(30 to the power of circle )}
b A LaTex expression showing \cos{(30 to the power of circle )}
5
An svg image showing a math problem
What is the X dimension for the unit circle point at 150°?
a A LaTex expression showing \sin{(150 to the power of circle )}
b A LaTex expression showing \cos{(150 to the power of circle )}
6
An svg image showing a math problem
What is the X dimension for the unit circle point at 210°?
a A LaTex expression showing \sin{(210 to the power of circle )}
b A LaTex expression showing \cos{(210 to the power of circle )}
7
An svg image showing a math problem
What is the Y dimension for the unit circle point at 240°?
a A LaTex expression showing \sin{(240 to the power of circle )}
b A LaTex expression showing \cos{(240 to the power of circle )}
8
An svg image showing a math problem
What is the X dimension for the unit circle point at 240°?
a A LaTex expression showing \sin{(240 to the power of circle )}
b A LaTex expression showing \cos{(240 to the power of circle )}