WorksheetsSolving Trig Equations with Factoring
Total questions: 10
Worksheet time: 1hrs 10mins
Name
Class
Date
1.
solve: 4cos2x = 3
a)
30°, 300°
b)
30°, 150°, 210°, 330°
c)
60°, 120°
d)
60°, 120°, 240°, 300°
2.
solve: 2sin(x/2) = 1
a)
60°, 300°
b)
60°, 120°
c)
300°, 330°
d)
210°, 330°
3.
solve: 2sin2(2x) - 7sin(2x) +3 = 0
a)
30°, 150°
b)
210°, 330°, 30°, 150°
c)
300°, 240°
d)
15°, 75°
4.
Solve: 2cos(2x)= -√2
a)
67.5°, 112.5°
b)
135°, 225°
c)
45° 135°
d)
135°, 225°
5.
Solve for 0≤x≤2π
2cos2x + cosx = 0
a)
π/2, 3π/2
b)
0, π,2π
c)
2π/3, 4π/3
d)
π/3, 5π/3
6.
Solve for 0≤x≤2π
2sin2x - 5sinx + 2 = 0
a)
π/6, 5π/6
b)
7π/6, 11π/6
c)
π/3, 2π/3
d)
4π/3, 5π/3
7.
Solve for 0≤x≤2π
3sin2x + sinx - 4 = 0
a)
0, π
b)
π/2
c)
π/6, 5π/6
d)
3π/2
8.
Solve on the Interval [0,2π)
tan(x)+1=2
tan(x)+1=2
a)
0 and π
b)
3π/4 and 7π/4
c)
π/4 and 5π/4
d)
3π/4 and 5π/4
9.
a)
5π∕6 + 2πn, 7π/6 + 2πn
b)
π/3 + 2πn, 2π/3 + 2πn
c)
5π/12 +πn, 7π/12 +πn
d)
2π/3 +πn, 4π/3 +πn
10.
Solve for 0≤x≤2π
2sin2x - sinx = 0
a)
0, π, 2π
b)
π/2, 3π/2
c)
π/6, 5π/6
d)
π/3, 2π/3
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