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Trigonometry, Unit Circle - Picture (Radians) to Cos/Sin Coordinates (30s)

Level 1

This math topic focuses on identifying the cosine and sine coordinates of specific angles measured in radians on the unit circle. The problems on this topic involve using trigonometric concepts at an advanced level to determine the correct pair of cos and sin values for given unit circle angles such as π/6, 7π/6, 2π/3, π/3, and 3π/2. It provides practice in converting angles from geometric representations on the unit circle to their corresponding trigonometric coordinate formats, enhancing understanding of trigonometry fundamentals at an advanced level.

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 Cos/Sin Coordinates (30s) Worksheet

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Trigonometry, Unit Circle - Picture (Radians) to Cos/Sin Coordinates ...
1
An svg image showing a math problem
What are the coordinates of the unit circle point at π/6 radians
a A LaTex expression showing (\cos{(Pi over 6 )},\sin{(Pi over 6 )})
b A LaTex expression showing (\sin{(Pi over 6 )},\cos{(Pi over 6 )})
2
An svg image showing a math problem
What are the coordinates of the unit circle point at 7π/6 radians
a A LaTex expression showing (\cos{(7Pi over 6 )},\sin{(7Pi over 6 )})
b A LaTex expression showing (\sin{(7Pi over 6 )},\cos{(7Pi over 6 )})
3
An svg image showing a math problem
What are the coordinates of the unit circle point at 2π/3 radians
a A LaTex expression showing (\cos{(2Pi over 3 )},\sin{(2Pi over 3 )})
b A LaTex expression showing (\sin{(2Pi over 3 )},\cos{(2Pi over 3 )})
4
An svg image showing a math problem
What are the coordinates of the unit circle point at π/3 radians
a A LaTex expression showing (\cos{(Pi over 3 )},\sin{(Pi over 3 )})
b A LaTex expression showing (\sin{(Pi over 3 )},\cos{(Pi over 3 )})
5
An svg image showing a math problem
What are the coordinates of the unit circle point at π/6 radians
a A LaTex expression showing (\sin{(Pi over 6 )},\cos{(Pi over 6 )})
b A LaTex expression showing (\cos{(Pi over 6 )},\sin{(Pi over 6 )})
6
An svg image showing a math problem
What are the coordinates of the unit circle point at 7π/6 radians
a A LaTex expression showing (\sin{(7Pi over 6 )},\cos{(7Pi over 6 )})
b A LaTex expression showing (\cos{(7Pi over 6 )},\sin{(7Pi over 6 )})
7
An svg image showing a math problem
What are the coordinates of the unit circle point at 3π/2 radians
a A LaTex expression showing (\sin{(3Pi over 2 )},\cos{(3Pi over 2 )})
b A LaTex expression showing (\cos{(3Pi over 2 )},\sin{(3Pi over 2 )})
8
An svg image showing a math problem
What are the coordinates of the unit circle point at π/4 radians
a A LaTex expression showing (\cos{(Pi over 4 )},\sin{(Pi over 4 )})
b A LaTex expression showing (\sin{(Pi over 4 )},\cos{(Pi over 4 )})