Module 3 Quiz: Trig Functions of Any Angle
Test Your Knowledge
10 questions. Aim for 7+ correct!
1
The point (5, −12) is on the terminal side. Find sin θ.
r = 13. sin = −12/13.
2
Evaluate cos(240°).
QIII, ref 60°. cos 60° = 1/2. Negative in QIII: −1/2.
3
Simplify: csc²θ − cot²θ
1 (Pythagorean identity).
4
If cos θ = 5/13 and θ in QIV, find tan θ.
sin = −12/13 (QIV). tan = −12/5. −12/5.
5
Is tangent even or odd?
Odd: tan(−θ) = −tan θ.
6
Simplify: sin(−45°)
−sin 45° = −√2/2.
7
Express sec 20° as a cofunction.
sec 20° = csc 70°.
8
Simplify: tan θ cot θ
1 (reciprocal identity).
9
Find csc(7π/6).
sin(7π/6) = −1/2 (QIII, ref π/6). csc = −2.
10
Simplify: (sin²θ)(sec²θ)
= sin²θ/cos²θ = tan²θ.