Trigonometry, Unit Circle Coordinates to Picture (Degrees)

Level 1

This topic focuses on the placement of points on the unit circle in the context of trigonometry. It specifically targets the ability to identify where given points with coordinates are located on the unit circle. Each problem presents a pair of Cartesian coordinates, which the student must use to select the correct diagram of the unit circle that accurately represents the given point location, expressed in degrees. The layouts challenge the student to interpret the trigonometric position of the points correctly. This forms part of an introductory unit on trigonometry 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 Coordinates to Picture (Degrees) Worksheet

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Trigonometry, Unit Circle Coordinates to Picture (Degrees)
1
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
2
A LaTex expression showing (-\frac{square root of 3}{2},1 over 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 (-\frac{square root of 3}{2},-1 over 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 (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
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 (-1,0)
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
7
A LaTex expression showing (\frac{square root of 3}{2},1 over 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
8
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