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Trigonometry, Unit Circle - Picture (Radians) to Coordinates (45s)

Level 1

This math topic revolves around identifying coordinates for specific radians on the unit circle, used within trigonometry. The problems require students to connect visual representations of angles in radians, such as π, 2π, π/2, and 3π/4, to their corresponding coordinates. This is an important skill in grasping the relationship between angle measurements and points on the unit circle, particularly focusing on angles that are multiples of 45 degrees (π/4). Questions provide multiple choice answers, aiding in honing the understanding and application of these trigonometric concepts.

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

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Trigonometry, Unit Circle - Picture (Radians) to Coordinates (45s) Worksheet

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Trigonometry, Unit Circle - Picture (Radians) to Coordinates (45s)
1
An svg image showing a math problem
What are the coordinates of the unit circle point at π radians
a A LaTex expression showing (1,0)
b A LaTex expression showing (-1,0)
2
An svg image showing a math problem
What are the coordinates of the unit circle point at 2π radians
a A LaTex expression showing (1,0)
b A LaTex expression showing (0,1)
3
An svg image showing a math problem
What are the coordinates of the unit circle point at π/2 radians
a A LaTex expression showing (1,0)
b A LaTex expression showing (0,1)
4
An svg image showing a math problem
What are the coordinates of the unit circle point at 3π/4 radians
a A LaTex expression showing (-\frac{square root of 2}{2},\frac{square root of 2}{2})
b A LaTex expression showing (-1 over 2 ,\frac{square root of 3}{2})
5
An svg image showing a math problem
What are the coordinates of the unit circle point at 2π radians
a A LaTex expression showing (0,-1)
b A LaTex expression showing (1,0)
6
An svg image showing a math problem
What are the coordinates of the unit circle point at π/2 radians
a A LaTex expression showing (0,1)
b A LaTex expression showing (-1,0)
7
An svg image showing a math problem
What are the coordinates of the unit circle point at 3π/4 radians
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})
8
An svg image showing a math problem
What are the coordinates of the unit circle point at 3π/4 radians
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})