Mathematics Grade 12 45 min

Solve trigonometric equations

Tutorial Preview

1

Solve 2sin(x) - 1 = 0 for x in [0, 2pi).

2

Solve 4cos^2(x) - 3 = 0 for x in [0, 2pi).

3

Solve sin(x)tan(x) - sin(x) = 0 for x in [0, 2pi).

Sample Practice Questions

Easy
Solve 2cos(x) + 1 = 0 for x in the interval [0, 2pi).
0.2pi/3, 4pi/3
1.pi/3, 5pi/3
2.pi/3, 4pi/3
3.2pi/3, 5pi/3
Easy
Solve tan^2(x) - 1 = 0 for x in the interval [0, 2pi).
0.pi/4, 3pi/4
1.pi/4, 5pi/4
2.pi/4, 7pi/4
3.pi/4, 3pi/4, 5pi/4, 7pi/4
Easy
Solve cos(x)tan(x) - cos(x) = 0 for x in the interval [0, 2pi).
0.pi/4, 5pi/4
1.pi/2, 3pi/2
2.pi/4, pi/2, 5pi/4, 3pi/2
3.0, pi

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