No calculators. Leave all answers as exact values (fractions and radicals) — do not use decimal approximations. Show your reasoning for full credit on Parts II and III. This is a graded quiz, so your answers are not checked as you go — when you're finished, click Submit at the bottom to send your quiz to Coach Showers. Use the symbol toolbar at the bottom of the screen (√, π, θ, and more) to drop special characters into any answer box.
Part I — Multiple Choice
12 points
Reference angles and quadrant signs.
Part II — Coordinates & Trigonometric Values
27 points
Fill in exact values. Use forms like -√3/2, 1/2, or √2/2.
7
Use the diagram to complete the table with the exact coordinates (cos θ, sin θ) for each labeled angle.
16 pts
θ
Coordinates (x, y)
θ
Coordinates (x, y)
Part III — Extended Response
11 points
Question 14 is reviewed by your teacher; the rest are graded automatically.
12
Find one positive angle and one negative angle that are coterminal with θ = 5π/6.
3 pts
14
Define cos θ and sin θ in terms of a point on the unit circle. Then explain what must always stay true about that point no matter what value θ takes, and name the identity or theorem that guarantees it.
4 pts
This grades your objective answers, then gets a report ready to send to Coach Showers with your answers, your grade, and the answer key.