Solving Basic Trig Equations Quiz: 10 Practice Questions

10 questions

Show all answers

1.

OPEN ENDED QUESTION

1 min • 1 pt

Solve for ALL values of x:

Evaluate responses using AI:

OFF

Tags

CCSS.HSF.TF.B.7

2.

OPEN ENDED QUESTION

1 min • 1 pt

Solve for x over the interval
$0\le x<2\pi$

Evaluate responses using AI:

OFF

Tags

CCSS.HSF.TF.B.7

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve: 2sinx-1=0; [ 0, 2 $\pi$ ]

$\frac{1}{2}$

$\frac{\pi}{6},\ \frac{5\pi}{6}$

$\frac{\pi}{3},\ \frac{5\pi}{3}$

$\frac{\pi}{6},\ \frac{5\pi}{6},\ \frac{7\pi}{6},\ \frac{11\pi}{6}$

Tags

CCSS.HSF.TF.B.7

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve: 2sinx=2;

1

$\frac{\pi}{2}$

$2\pi$

Not Possible

Tags

CCSS.HSF.TF.B.7

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve for $\theta$ in the given domain.

$\cos\ \theta=\ \frac{1}{2}$ for $0\le\theta\le2\pi$

$\frac{\pi}{6}$ and $\frac{11\pi}{6}$

$\frac{\pi}{4}$ and $\frac{7\pi}{4}$

$\frac{\pi}{3}$ and $\frac{5\pi}{3}$

$\frac{\pi}{2}$ and $\frac{3\pi}{2}$

Tags

CCSS.HSF.TF.B.7

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

-1 / 2

√3 / 2

-√3 / 2

1 / 2

Tags

CCSS.HSF.TF.A.2

7.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Which angle(s) satisfy the equation $\cos\theta=\frac{1}{2}$

30^o

60^o

300^o

330^o

Tags

CCSS.HSF.TF.B.7

8.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Which angle(s) satisfy the equation $\sin\theta=-\frac{1}{2}$

30^o

150^o

210^o

330^o

Tags

CCSS.HSF.TF.B.7

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Solving Basic Trig Equations

Solve for ALL values of x:

Solve for x over the interval
$0\le x<2\pi$

Solve: 2sinx-1=0; [ 0, 2 $\pi$ ]

Solve: 2sinx=2;

Solve for $\theta$ in the given domain.

$\cos\ \theta=\ \frac{1}{2}$ for $0\le\theta\le2\pi$

Which angle(s) satisfy the equation $\cos\theta=\frac{1}{2}$

Which angle(s) satisfy the equation $\sin\theta=-\frac{1}{2}$

Solve sinθ = ½ on θ∈[0, 2π)

Solve for θ on the interval from [0, 2π).

cosθ = -½

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Similar Resources on Wayground

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Discover more resources for Mathematics

Solving Basic Trig Equations

Solve for ALL values of x:

Solve for x over the interval 0≤x<2π0\le x<2\pi0≤x<2π

Solve: 2sinx-1=0; [ 0, 2 π\piπ ]

Solve: 2sinx=2;

Solve for θ\thetaθ in the given domain. cos⁡ θ= 12\cos\ \theta=\ \frac{1}{2}cos θ= 21​ for 0≤θ≤2π0\le\theta\le2\pi0≤θ≤2π

Which angle(s) satisfy the equation cos⁡θ=12\cos\theta=\frac{1}{2}cosθ=21​

Which angle(s) satisfy the equation sin⁡θ=−12\sin\theta=-\frac{1}{2}sinθ=−21​

Solve sinθ = ½ on θ∈[0, 2π)

Solve for θ on the interval from [0, 2π).cosθ = -½

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Solve for x over the interval
$0\le x<2\pi$

Solve: 2sinx-1=0; [ 0, 2 $\pi$ ]

Solve for $\theta$ in the given domain.

$\cos\ \theta=\ \frac{1}{2}$ for $0\le\theta\le2\pi$

Which angle(s) satisfy the equation $\cos\theta=\frac{1}{2}$

Which angle(s) satisfy the equation $\sin\theta=-\frac{1}{2}$

Solve for θ on the interval from [0, 2π).

cosθ = -½