Trigonometry, Unit Circle Coordinates to Picture (Radians) (30s)

Level 1

This math topic focuses on recognizing and mapping coordinates from the unit circle in radians. It includes practice on identifying the correct unit circle diagram that corresponds to given trigonometric points. Each question presents coordinates of a point in the form of LaTeX-rendered expressions, and students must choose between two visual representations of the unit circle to determine which one accurately depicts the point. This allows students to improve their understanding of trigonometric values and angles measured in radians, key skills in trigonometry and unit circle concepts.

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

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Trigonometry, Unit Circle Coordinates to Picture (Radians) (30s) Worksheet

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Trigonometry, Unit Circle Coordinates to Picture (Radians) (30s)
1
A LaTex expression showing (0,1)
Which unit circle shows this point?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
2
A LaTex expression showing (\frac{square root of 2}{2},-\frac{square root of 2}{2})
Which unit circle shows this point?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
3
A LaTex expression showing (-1 over 2 ,\frac{square root of 3}{2})
Which unit circle shows this point?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
4
A LaTex expression showing (1 over 2 ,\frac{square root of 3}{2})
Which unit circle shows this point?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
5
A LaTex expression showing (-1 over 2 ,-\frac{square root of 3}{2})
Which unit circle shows this point?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
6
A LaTex expression showing (1 over 2 ,-\frac{square root of 3}{2})
Which unit circle shows this point?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
7
A LaTex expression showing (1,0)
Which unit circle shows this point?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
8
A LaTex expression showing (-1,0)
Which unit circle shows this point?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem