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

Level 1

This math topic focuses on identifying the cosine and sine coordinates of specific points on the unit circle, given in radians, particularly at angles such as π/2, π, 5π/4, 3π/2, and 7π/4. It is designed to enhance understanding and proficiency in using the unit circle to find trigonometric coordinates, an advanced fundamental skill in trigonometry.

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 (45s) Worksheet

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

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What are the coordinates of the unit circle point at π/2 radians

a $A LaTex expression showing (\cos{(Pi over 2 )},\sin{(Pi over 2 )})$

b $A LaTex expression showing (\sin{(Pi over 2 )},\cos{(Pi over 2 )})$

An svg image showing a math problem

What are the coordinates of the unit circle point at π radians

a $A LaTex expression showing (\cos{(Pi )},\sin{(Pi )})$

b $A LaTex expression showing (\sin{(Pi )},\cos{(Pi )})$

An svg image showing a math problem

What are the coordinates of the unit circle point at 5π/4 radians

a $A LaTex expression showing (\cos{(5Pi over 4 )},\sin{(5Pi over 4 )})$

b $A LaTex expression showing (\sin{(5Pi over 4 )},\cos{(5Pi over 4 )})$

An svg image showing a math problem

What are the coordinates of the unit circle point at π/2 radians

a $A LaTex expression showing (\sin{(Pi over 2 )},\cos{(Pi over 2 )})$

b $A LaTex expression showing (\cos{(Pi over 2 )},\sin{(Pi over 2 )})$

An svg image showing a math problem

What are the coordinates of the unit circle point at 3π/2 radians

a $A LaTex expression showing (\cos{(3Pi over 2 )},\sin{(3Pi over 2 )})$

b $A LaTex expression showing (\sin{(3Pi over 2 )},\cos{(3Pi over 2 )})$

An svg image showing a math problem

What are the coordinates of the unit circle point at 7π/4 radians

a $A LaTex expression showing (\sin{(7Pi over 4 )},\cos{(7Pi over 4 )})$

b $A LaTex expression showing (\cos{(7Pi over 4 )},\sin{(7Pi over 4 )})$

An svg image showing a math problem

What are the coordinates of the unit circle point at π/2 radians

a $A LaTex expression showing (\sin{(Pi over 2 )},\cos{(Pi over 2 )})$

b $A LaTex expression showing (\cos{(Pi over 2 )},\sin{(Pi over 2 )})$

An svg image showing a math problem

What are the coordinates of the unit circle point at 7π/4 radians

a $A LaTex expression showing (\cos{(7Pi over 4 )},\sin{(7Pi over 4 )})$

b $A LaTex expression showing (\sin{(7Pi over 4 )},\cos{(7Pi over 4 )})$