The unit circle, and exact trig values of the special angles
Grade 11 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
The point (-3/5, 4/5) in Quadrant II; an arrow across from the center (-3/5) and an arrow up (4/5). Luz marks the point (-3/5, 4/5) on a unit circle worksheet, at the end of a turn θ from the positive x-axis. What is cos θ?
The point (5/13, -12/13) in Quadrant IV; an arrow across from the center (5/13) and an arrow up (-12/13). Milo's robot drives around a unit circle on a floor grid and stops at (5/13, -12/13) after a turn θ. What is sin θ?
The point (-8/17, -15/17) in Quadrant III; an arrow across from the center (-8/17) and an arrow up (-15/17). Noah marks the point (-8/17, -15/17) on a unit circle worksheet, at the end of a turn θ. What is sin θ?
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The 30-60-90 triangle with sides 1, √3 and 2; divide every side by 2 so the long side is the radius 1, then put it in the circle at 30°.
Tala's math book shows the 30° turn on the unit circle, with its 30-60-90 triangle. What is sin 30°?
- 1
- √2/2
- 1/2
- √3/2
Zee draws the 45° turn on a unit circle worksheet, with its 45-45-90 triangle. What is sin 45°?
- 1
- √3/2
- √2/2
- 1/2
Esme's math book shows the 60° turn on the unit circle, with its 30-60-90 triangle. What is cos 60°?
- 1
- 1/2
- √2/2
- √3/2
Jun's robot starts at (1, 0) on a unit circle floor grid and turns 90° counterclockwise around the center. At which point does it stop?
Kira turns a spinner arrow of length 1 through 180° from the positive x-axis. At which point does its tip stop?
Use the picture in question 7.
Luz's robot starts at (1, 0) on a unit circle floor grid and turns 3π/2 radians counterclockwise. At which point does it stop?
Use the picture in question 7.
Milo turns a clock hand of length 1 through -270°, clockwise from the positive x-axis. At which point does its tip stop?
Use the picture in question 7.