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Unit Circle Trig Values

Mathematics

10th - 12th Grade

TEKS covered

Used 777+ times

Unit Circle Trig Values
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This quiz focuses on unit circle trigonometry, specifically evaluating exact trigonometric values at special angles. Appropriate for grades 10-12, this material represents a cornerstone of advanced algebra and pre-calculus curricula. Students must demonstrate mastery of the unit circle's key angle measures in both radians and degrees, recall exact values for sine, cosine, and tangent at special angles (30°, 45°, 60°, and their multiples), and understand how trigonometric functions behave in different quadrants. The problems require students to work fluently with radian-degree conversions, recognize reference angles, apply the signs of trigonometric functions based on quadrant location, and identify when trigonometric functions are undefined. Success depends on memorizing the exact values for common angles and understanding the geometric relationships within the unit circle that generate these values. This quiz was created by a classroom teacher who designed it for students studying trigonometry in grades 10-12. This assessment serves as an excellent tool for checking student recall of fundamental trigonometric values that form the foundation for more advanced topics like trigonometric equations, identities, and graphing. Teachers can deploy this quiz as a warm-up activity to activate prior knowledge before introducing new concepts, as guided practice during initial instruction on the unit circle, or as a formative assessment to identify students who need additional support with memorizing exact values. The mix of radian and degree measures makes it particularly valuable for reinforcing angle conversions, while the inclusion of angles beyond the first quadrant ensures students understand how to extend their knowledge throughout the coordinate plane. This quiz aligns with standards HSF-TF.A.2 and HSF-TF.A.3, which require students to explain relationships between trigonometric functions and the unit circle and use special triangles to determine exact trigonometric values.

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17 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

sin (π/2)

√3/2
√2/2
1/2
1

Tags

TEKS.MATH.P.4A

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

cos (π/4)

√3/2
√2/2
1/2
1

Tags

TEKS.MATH.P.4A

3.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

cos (π/6)

√3/2
√2/2
1/2
1

Tags

TEKS.MATH.P.4A

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

sin(π/3)

√3/2
√2/2
1/2
1

Tags

TEKS.MATH.P.4A

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

cos(π)

√3/2
-√2/2
-1
1

Tags

TEKS.MATH.P.4A

6.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

sin(5π/3)

-√3/2
-√2/2
-1/2
√3/2

Tags

TEKS.MATH.P.4A

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

cos(5π/3)

-√2/2
-1/2
1/2
√3/2

Tags

TEKS.MATH.P.4A

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