Module 6 Quiz: Trig Equations
Test Your Knowledge
10 questions on solving trig equations and inverse functions.
1
Solve sinθ=√2/2 on [0,2π).
π/4, 3π/4
2
arctan(0) = ?
0
3
Solve 2cosθ+1=0 on [0,2π).
2π/3, 4π/3
4
General solution of tanθ=√3?
θ=π/3+nπ
5
arccos(1) = ?
0
6
Solve sin(2x)=0 on [0,2π). How many solutions?
4: x=0, π/2, π, 3π/2.
7
Range of arcsin?
[−π/2, π/2]
8
Solve cos²θ=1 on [0,2π).
cosθ=±1: 0, π
9
Find sin(arccos(3/5)).
4/5
10
arcsin(sin(2π/3)) = ?
sin(2π/3)=√3/2. arcsin(√3/2)=π/3 (not 2π/3).