On an Interval
Quadratic
Basic
Intermediate
Hard
100
2cos(t)=√3 on [-2π, 2π]
π/6, 11π/6, -π/6, -11π/6
100
2cos2(3x) + 5cos(3x) - 3 = 0
π/9 + 2πn/3, 5π/9 + 2πn/3
100
2cos(t)=√3
π/6 + 2πn, 11π/6 + 2πn
100
2sin(5x)=-√3
4π/15 + 2πn/5, π/3 + 2πn
100
2sin(5x+4)=-√3
4π/15 + 2πn-4/5, 5π/15 + 2πn-4/5
200
2sin(3x)=1 on [-π, π]
-11π/18, π/18, 13π/18, -7π/18, 5π/18, 17π/18
200
2sin2+3cosx-3=0
2πn, π/3 + 2πn, 5π/3 + 2πn
200
cos(3x)=2
No solutions
200
sin(2x)=-cos(2x)
3π/8 + πn, 7π/8 + πn
200
2sin(θ)cos(θ)=1
π/4 + πn
300
sin(4t)=1 on [0, 2π]
π/8, 5π/8, 9π/8, 13π/8
300
2cos2x+3sinx-3=0
π/6, 5π/6, π/2
300
tan3x=1
π/12+ 2πn/3
300
cos2θ+cosθ=0
π/3 + 2πn, π+ 2πn, 4π/3 +2πn
300
sin(w)cos(w)+cos(w)=0
π/2 + 2πn, 3π/2 + 2πn
400
tan2x-3=0 on [0, π]
π/3, 2π/3
400
2sin2x+sinx-1=0
π/6+ 2πn, 5π/6+2πn, π/2+ 2πn
400
2sinx+1=0
7π/6+ 2πn, 11π/6+ 2πn
400
tanx sin2x=2tanx
0, π, 2π
400
2cos2x+3sinx-3=0
π/6+ 2πn, 5π/6+ 2πn, π/2+ 2πn
M
e
n
u