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

Level 1

This math topic focuses on trigonometry, specifically using the unit circle to convert angles in radians to their corresponding cosine and sine coordinates. It targets angles at standard positions like π/4, 7π/6, 2π/3, 3π/2, 3π/4, 2π, and 5π/3. Students are asked to identify the correct cosine and sine coordinates for these given angles. The activity enhances the understanding of the unit circle and trigonometric relationships in an advanced trigonometry context.

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

Trigonometry, Unit Circle - Angle (Radians) to Cos/Sin Coordinates (3...

$A LaTex expression showing Pi over 4 \text{ radians}$

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

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

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

$A LaTex expression showing 7Pi over 6 \text{ radians}$

What are the coordinates of the point on the unit circle at 7π/6 radians?

a $A LaTex expression showing (\sin{(7Pi over 6 )},\cos{(7Pi over 6 )})$

b $A LaTex expression showing (\cos{(7Pi over 6 )},\sin{(7Pi over 6 )})$

$A LaTex expression showing 2Pi over 3 \text{ radians}$

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

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

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

$A LaTex expression showing 3Pi over 2 \text{ radians}$

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

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

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

$A LaTex expression showing 3Pi over 4 \text{ radians}$

What are the coordinates of the point on the unit circle at 3π/4 radians?

a $A LaTex expression showing (\sin{(3Pi over 4 )},\cos{(3Pi over 4 )})$

b $A LaTex expression showing (\cos{(3Pi over 4 )},\sin{(3Pi over 4 )})$

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

$A LaTex expression showing 2Pi \text{ radians}$

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

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

$A LaTex expression showing 5Pi over 3 \text{ radians}$

What are the coordinates of the point on the unit circle at 5π/3 radians?

a $A LaTex expression showing (\cos{(5Pi over 3 )},\sin{(5Pi over 3 )})$

b $A LaTex expression showing (\sin{(5Pi over 3 )},\cos{(5Pi over 3 )})$

$A LaTex expression showing Pi over 6 \text{ radians}$

What are the coordinates of the point on the unit circle at π/6 radians?

a $A LaTex expression showing (\cos{(Pi over 6 )},\sin{(Pi over 6 )})$

b $A LaTex expression showing (\sin{(Pi over 6 )},\cos{(Pi over 6 )})$