Solve equation for 0 ≤ θ < 2 π 0\le\theta<2\pi 0 ≤ θ < 2 π . − 2 + cot ⁡ θ = − 3 -2+\cot\theta=-3 − 2 + cot θ = − 3

θ = 3 π 4 , 7 π 4 \theta=\frac{3\pi}{4},\frac{7\pi}{4} θ = 4 3 π , 4 7 π

θ = 3 π 4 , 4 π 3 , 7 π 4 \theta=\frac{3\pi}{4},\frac{4\pi}{3},\frac{7\pi}{4} θ = 4 3 π , 3 4 π , 4 7 π

θ = π 3 , 4 π 3 \theta=\frac{\pi}{3},\frac{4\pi}{3} θ = 3 π , 3 4 π

θ = 3 π 4 , 4 π 3 \theta=\frac{3\pi}{4},\frac{4\pi}{3} θ = 4 3 π , 3 4 π

Solve equation for 0 ≤ θ < 2 π 0\le\theta<2\pi 0 ≤ θ < 2 π . 2 = − 4 − 3 csc ⁡ θ 2=-4-3\csc\theta 2 = − 4 − 3 csc θ

θ = 7 π 6 , 11 π 6 \theta=\frac{7\pi}{6},\frac{11\pi}{6} θ = 6 7 π , 6 1 1 π

θ = 2 π 3 , 7 π 6 \theta=\frac{2\pi}{3},\frac{7\pi}{6} θ = 3 2 π , 6 7 π

θ = π 3 \theta=\frac{\pi}{3} θ = 3 π

θ = 2 π 3 , 7 π 6 , 11 π 6 \theta=\frac{2\pi}{3},\frac{7\pi}{6},\frac{11\pi}{6} θ = 3 2 π , 6 7 π , 6 1 1 π

Solve equation for 0 ≤ θ < 2 π 0\le\theta<2\pi 0 ≤ θ < 2 π . 6 tan ⁡ θ + 6 3 = 0 6\tan\theta\ +\ 6\sqrt{3}\ =\ 0 6 tan θ + 6 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> = 0

θ = 2 π 3 , 5 π 3 \theta=\frac{2\pi}{3},\frac{5\pi}{3} θ = 3 2 π , 3 5 π

θ = π 6 , 7 π 6 \theta=\frac{\pi}{6},\frac{7\pi}{6} θ = 6 π , 6 7 π

θ = 5 π 6 , 11 π 6 \theta=\frac{5\pi}{6},\frac{11\pi}{6} θ = 6 5 π , 6 1 1 π

θ = π 3 , 4 π 3 \theta=\frac{\pi}{3},\frac{4\pi}{3} θ = 3 π , 3 4 π

S o l v e cos ⁡ x tan ⁡ x + cos ⁡ x = 0 f o r 0 ≤ x < 2 π Solve\ \ \cos x\ \tan x\ +\ \cos x\ =\ 0\ \ for\ 0\ \le\ x\ <\ 2\pi S o l v e cos x tan x + cos x = 0 f o r 0 ≤ x < 2 π

π 2 , 3 π 4 , 3 π 2 , 7 π 4 \frac{\pi}{2},\ \frac{3\pi}{4},\ \frac{3\pi}{2},\ \frac{7\pi}{4} 2 π , 4 3 π , 2 3 π , 4 7 π

π 4 , π 2 , 5 π 4 , 3 π 2 \frac{\pi}{4},\ \frac{\pi}{2},\ \frac{5\pi}{4},\ \frac{3\pi}{2} 4 π , 2 π , 4 5 π , 2 3 π

0 , 3 π 4 , π , 7 π 4 0,\ \frac{3\pi}{4},\ \pi,\ \frac{7\pi}{4} 0 , 4 3 π , π , 4 7 π

0 , π 4 , π , 5 π 4 0,\ \frac{\pi}{4},\ \pi,\ \frac{5\pi}{4} 0 , 4 π , π , 4 5 π

Solve the equation. Restrict your answer to [0,2π). − 2 2 = 4 sin ⁡ 3 θ -2\sqrt{2}=4\sin3\theta − 2 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> = 4 sin 3 θ

{ 5 π 12 , 7 π 12 , 13 π 12 , 5 π 4 , 7 π 4 , 23 π 12 } \left\{\frac{5\pi}{12},\frac{7\pi}{12},\frac{13\pi}{12},\frac{5\pi}{4},\frac{7\pi}{4},\frac{23\pi}{12}\right\} { 1 2 5 π , 1 2 7 π , 1 2 1 3 π , 4 5 π , 4 7 π , 1 2 2 3 π }

{ π 24 , 13 π 24 , 7 π 12 , 25 π 24 , 29 π 24 , 5 π 4 , 7 π 4 } \left\{\frac{\pi}{24},\frac{13\pi}{24},\frac{7\pi}{12},\frac{25\pi}{24},\frac{29\pi}{24},\frac{5\pi}{4},\frac{7\pi}{4}\right\} { 2 4 π , 2 4 1 3 π , 1 2 7 π , 2 4 2 5 π , 2 4 2 9 π , 4 5 π , 4 7 π }

{ 7 π 12 , 25 π 24 , 13 π 12 , 7 π 4 , 23 π 12 } \left\{\frac{7\pi}{12},\frac{25\pi}{24},\frac{13\pi}{12},\frac{7\pi}{4},\frac{23\pi}{12}\right\} { 1 2 7 π , 2 4 2 5 π , 1 2 1 3 π , 4 7 π , 1 2 2 3 π }

{ 25 π 24 , 41 π 24 , 7 π 4 } \left\{\frac{25\pi}{24},\frac{41\pi}{24},\frac{7\pi}{4}\right\} { 2 4 2 5 π , 2 4 4 1 π , 4 7 π }

State the solutions in the interval [ 0 , 2 π ) \left[0,\ 2\pi\right) [ 0 , 2 π ) 3 tan ⁡ 3 x − 3 = 0 3\tan3x\ -\ \sqrt{3}\ =\ 0 3 tan 3 x − 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> = 0

π 18 , 7 π 18 , 13 π 18 , 19 π 18 , 25 π 18 , 31 π 18 \frac{\pi}{18},\ \frac{7\pi}{18},\ \frac{13\pi}{18},\ \frac{19\pi}{18},\ \frac{25\pi}{18},\ \frac{31\pi}{18} 1 8 π , 1 8 7 π , 1 8 1 3 π , 1 8 1 9 π , 1 8 2 5 π , 1 8 3 1 π

π 18 , 13 π 18 , 25 π 18 \frac{\pi}{18},\ \frac{13\pi}{18},\ \frac{25\pi}{18} 1 8 π , 1 8 1 3 π , 1 8 2 5 π

7 π 18 , 19 π 18 , 31 π 18 \frac{7\pi}{18},\ \frac{19\pi}{18},\ \frac{31\pi}{18} 1 8 7 π , 1 8 1 9 π , 1 8 3 1 π

π 9 , 4 π 9 , 7 π 9 , 10 π 9 , 13 π 9 , 16 π 9 \frac{\pi}{9},\ \frac{4\pi}{9},\ \frac{7\pi}{9},\ \frac{10\pi}{9},\ \frac{13\pi}{9},\ \frac{16\pi}{9} 9 π , 9 4 π , 9 7 π , 9 1 0 π , 9 1 3 π , 9 1 6 π

Solving Trig Equations

Authored by Jennifer Wagner

Mathematics

9th - 12th Grade

CCSS covered

Used 257+ times

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

15 questions

Show all answers

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve: 4sinθ + 1 = 3
State all solutions in the interval [0, 2π)

π/ 6, 7π/6

π/6, 5π/ 6

5π/6, 7π/6

7π/6, 11π/6

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve: 2cscθ + 2 = 0
State all solutions in the interval [0, 2π)

π/2, 3π/2

π/2

3π /2

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve: $2\sqrt{3}\sec\theta\ +\ 4\ =\ 0$
State all solutions in the interval [0, 2π)

π /3, 2π/3

2π /3, 4π/3

π /6, 5π/6

5π /6, 7π/6

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve: 2cosx - 4 = 0
State all solutions in the interval [0, 2π)

No solution

π/3, 5π/3

π/6, 11π/6

2π/3, 4π/3

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve: 4sin²x = 3
State all solutions in the interval [0, 2π)

π/6, 11π/6

π/3, 2π/3

π/6, 5π/6, 7π/6, 11π/6

π/3, 2π/3, 4π/3, 5π/3

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve equation for $0\le\theta<2\pi$ .
$-2+\cot\theta=-3$

$\theta=\frac{3\pi}{4},\frac{4\pi}{3},\frac{7\pi}{4}$

$\theta=\frac{3\pi}{4},\frac{7\pi}{4}$

$\theta=\frac{\pi}{3},\frac{4\pi}{3}$

$\theta=\frac{3\pi}{4},\frac{4\pi}{3}$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve equation for $0\le\theta<2\pi$ .
$2=-4-3\csc\theta$

$\theta=\frac{2\pi}{3},\frac{7\pi}{6}$

$\theta=\frac{\pi}{3}$

$\theta=\frac{7\pi}{6},\frac{11\pi}{6}$

$\theta=\frac{2\pi}{3},\frac{7\pi}{6},\frac{11\pi}{6}$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve equation for $0\le\theta<2\pi$ .
$-1-2\sec^2\theta=-3\sec^2\theta$

$\theta=0,\pi,\frac{4\pi}{3}$

$\theta=0$

$\theta=\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}$

$\theta=0,\pi$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve equation for $0\le\theta<2\pi$ .
$3\tan^2\theta\ -1\ =\ 0$

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

$\theta=\frac{\pi}{3},\frac{2\pi}{3},\frac{4\pi}{3},\frac{5\pi}{3}$

$\theta=\frac{\pi}{6},\frac{7\pi}{6}$

$\theta=\frac{\pi}{3},\frac{4\pi}{3}$

Tags

CCSS.HSF.TF.B.7

10.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve equation for $0\le\theta<2\pi$ .
$6\tan\theta\ +\ 6\sqrt{3}\ =\ 0$

$\theta=\frac{\pi}{6},\frac{7\pi}{6}$

$\theta=\frac{5\pi}{6},\frac{11\pi}{6}$

$\theta=\frac{\pi}{3},\frac{4\pi}{3}$

$\theta=\frac{2\pi}{3},\frac{5\pi}{3}$

Tags

CCSS.HSF.TF.B.7

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

18 questions

Induksi Matematika

Quiz

•

11th Grade

20 questions

Persamaan Kuadrat 3

Quiz

•

9th Grade

15 questions

Persamaan Linear & Persamaan Serentak Linear

Quiz

•

2nd - 12th Grade

10 questions

Series Dominó Matricial

Quiz

•

4th Grade - University

10 questions

Barisan dan Deret

Quiz

•

12th Grade

12 questions

INDEKS PECAHAN 3KZ

Quiz

•

5th - 12th Grade

10 questions

Trigonometri

Quiz

•

11th Grade

10 questions

RASIO TRIGONOMETRI PADA SEGITIGA SIKU-SIKU

Quiz

•

10th Grade

Popular Resources on Wayground

10 questions

5.P.1.3 Distance/Time Graphs

Quiz

•

5th Grade

10 questions

Fire Drill

Quiz

•

2nd - 5th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

15 questions

Hargrett House Quiz: Community & Service

Quiz

•

5th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

20 questions

Inferences

Quiz

•

4th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

Discover more resources for Mathematics

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

10 questions

Exploring Basic Probability Concepts

Interactive video

•

6th - 10th Grade

11 questions

Adding and Subtracting Polynomials

Quiz

•

9th Grade

20 questions

Rational and Irrational Numbers, Perfect Squares, & Perfect Cube

Quiz

•

9th Grade

12 questions

Exponential Growth and Decay

Quiz

•

9th Grade

10 questions

Factoring Quadratic Expressions

Quiz

•

9th Grade

16 questions

Identifying Angles

Quiz

•

7th - 12th Grade

25 questions

Complementary and Supplementary Angles

Quiz

•

7th - 10th Grade

Solving Trig Equations

Solve: 4sinθ + 1 = 3State all solutions in the interval [0, 2π)

Solve: 2cscθ + 2 = 0State all solutions in the interval [0, 2π)

Solve: 23sec⁡θ + 4 = 02\sqrt{3}\sec\theta\ +\ 4\ =\ 023​secθ + 4 = 0 State all solutions in the interval [0, 2π)

Solve: 2cosx - 4 = 0State all solutions in the interval [0, 2π)

Solve: 4sin2x = 3State all solutions in the interval [0, 2π)

Solve equation for 0≤θ<2π0\le\theta<2\pi0≤θ<2π . −2+cot⁡θ=−3-2+\cot\theta=-3−2+cotθ=−3

Solve equation for 0≤θ<2π0\le\theta<2\pi0≤θ<2π . 2=−4−3csc⁡θ2=-4-3\csc\theta2=−4−3cscθ

Solve equation for 0≤θ<2π0\le\theta<2\pi0≤θ<2π . −1−2sec⁡2θ=−3sec⁡2θ-1-2\sec^2\theta=-3\sec^2\theta−1−2sec2θ=−3sec2θ

Solve equation for 0≤θ<2π0\le\theta<2\pi0≤θ<2π . 3tan⁡2θ −1 = 03\tan^2\theta\ -1\ =\ 03tan2θ −1 = 0

Solve equation for 0≤θ<2π0\le\theta<2\pi0≤θ<2π . 6tan⁡θ + 63 = 06\tan\theta\ +\ 6\sqrt{3}\ =\ 06tanθ + 63​ = 0

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: 4sinθ + 1 = 3
State all solutions in the interval [0, 2π)

Solve: 2cscθ + 2 = 0
State all solutions in the interval [0, 2π)

Solve: $2\sqrt{3}\sec\theta\ +\ 4\ =\ 0$
State all solutions in the interval [0, 2π)

Solve: 2cosx - 4 = 0
State all solutions in the interval [0, 2π)

Solve: 4sin²x = 3
State all solutions in the interval [0, 2π)

Solve equation for $0\le\theta<2\pi$ .
$-2+\cot\theta=-3$

Solve equation for $0\le\theta<2\pi$ .
$2=-4-3\csc\theta$

Solve equation for $0\le\theta<2\pi$ .
$-1-2\sec^2\theta=-3\sec^2\theta$

Solve equation for $0\le\theta<2\pi$ .
$3\tan^2\theta\ -1\ =\ 0$

Solve equation for $0\le\theta<2\pi$ .
$6\tan\theta\ +\ 6\sqrt{3}\ =\ 0$