Unit circle and inverse trig
Authored by Samantha Maddox
Mathematics
11th - 12th Grade
CCSS covered
Used 202+ times
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This quiz comprehensively covers trigonometric functions, the unit circle, and inverse trigonometry at the 11th-12th grade level. Students need mastery of the unit circle coordinates for special angles (30°, 45°, 60°, and their multiples), fluency in converting between degrees and radians, and deep understanding of trigonometric function properties including amplitude, period, and range. The questions assess students' ability to evaluate inverse trigonometric functions within their restricted domains, apply the Pythagorean identity to find missing trigonometric values, identify coterminal angles, and work with composite functions involving trigonometric and inverse trigonometric operations. Students must understand that inverse functions have specific range restrictions and be able to determine signs of trigonometric functions based on quadrant analysis. Created by Samantha Maddox, a Mathematics teacher in the US who teaches grades 11-12. This quiz serves as an excellent tool for formative assessment during a unit on trigonometry, allowing teachers to identify specific areas where students need additional support before summative assessments. The variety of question types makes it ideal for structured review sessions, homework assignments, or warm-up activities throughout the unit. Teachers can use this quiz to gauge student readiness for more advanced topics like trigonometric identities and equations. The content aligns with Common Core standards HSF-TF.A.2 (explaining unit circle relationships), HSF-TF.A.3 (using special triangles), and HSF-TF.B.7 (using inverse functions to solve trigonometric equations), providing comprehensive coverage of essential trigonometric concepts that prepare students for calculus and other advanced mathematics courses.
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60 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Evaluate: cos-1(1/2)
Tags
CCSS.HSF.TF.B.7
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Evaluate: tan-1(√3)
Tags
CCSS.HSF.TF.B.7
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Evaluate: arcsin(1/√2)
Tags
CCSS.HSF.TF.B.7
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Evaluate: arctan(1)
Tags
CCSS.HSF.TF.B.7
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Evaluate: arccos(-√3/2)
Tags
CCSS.HSF.TF.B.7
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Evaluate: sin-1(-√2/2)
Tags
CCSS.HSF.TF.B.7
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Evaluate: arccos(0)
Tags
CCSS.HSF.TF.B.7
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