Solve the trigonometric equation in the interval ( 0 , 2 π ] \left(0,\ 2\pi\right] ( 0 , 2 π ] . 11 sin ⁡ x + 5 = sin ⁡ x 11\sin x+5=\sin x 1 1 sin x + 5 = sin x

7 π 6 , 11 π 6 \frac{7\pi}{6},\frac{11\pi}{6} 6 7 π , 6 1 1 π

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

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

π 6 , 5 π 6 , 7 π 6 , 11 π 6 \frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6},\frac{11\pi}{6} 6 π , 6 5 π , 6 7 π , 6 1 1 π

Solve the trigonometric equation in the interval ( 0 , 2 π ] \left(0,\ 2\pi\right] ( 0 , 2 π ] . 2 sin ⁡ 3 x + 3 = 0 2\sin3x+\sqrt{3}=0 2 sin 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

4 π 9 , 5 π 9 \frac{4\pi}{9},\frac{5\pi}{9} 9 4 π , 9 5 π

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

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

π 6 , 4 π 9 , 2 π 9 , 5 π 9 \frac{\pi}{6},\frac{4\pi}{9},\frac{2\pi}{9},\frac{5\pi}{9} 6 π , 9 4 π , 9 2 π , 9 5 π

Given x : [0, 2 π], Solve the following equation: cos ⁡ x = 1 2 \cos\ x\ =\frac{1}{2} cos x = 2 1

x = π 3 , 5 π 3 x\ =\ \frac{\pi}{3}\ \ ,\ \ \frac{5\pi}{3} x = 3 π , 3 5 π

x = π 3 , 2 π 3 x\ =\ \frac{\pi}{3}\ \ ,\ \ \frac{2\pi}{3} x = 3 π , 3 2 π

x = 4 π 3 , 5 π 3 x\ =\ \frac{4\pi}{3}\ \ ,\ \ \frac{5\pi}{3} x = 3 4 π , 3 5 π

x = π 3 , π 2 x\ =\ \frac{\pi}{3}\ \ ,\ \ \frac{\pi}{2} x = 3 π , 2 π

Given x : [0, 2 π], Solve the following equation: cos ⁡ x = 0 \cos\ x\ =0 cos x = 0

x = π 2 , 3 π 2 x\ =\ \frac{\pi}{2}\ \ ,\ \frac{3\pi}{2} x = 2 π , 2 3 π

x = 0 , π , 2 π x\ =\ 0\ ,\ \pi\ ,\ 2\pi x = 0 , π , 2 π

x = π , 2 π x\ =\pi\ ,\ \ 2\pi x = π , 2 π

x = π 2 x\ =\ \frac{\pi}{2}\ \ x = 2 π

x = 3 π 2 x\ =\ \frac{3\pi}{2} x = 2 3 π

Given x : [0, 2 π], Solve the following equation: sin ⁡ x = 0 \sin\ x\ =0 sin x = 0

x = 0 , π , 2 π x\ =\ 0\ ,\ \pi\ ,\ 2\pi x = 0 , π , 2 π

x = π 2 o r 3 π 2 x\ =\ \frac{\pi}{2}\ \ or\ \ \frac{3\pi}{2} x = 2 π o r 2 3 π

x = π , 2 π x\ =\pi\ ,\ \ 2\pi x = π , 2 π

x = π 2 x\ =\ \frac{\pi}{2}\ \ x = 2 π

x = 3 π 2 x\ =\ \frac{3\pi}{2} x = 2 3 π

Given x : [0, 2 π], Solve the following equation: sin ⁡ x = − 3 2 \sin\ x\ =-\frac{\sqrt{3}}{2} sin x = − 2 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">

x = 4 π 3 , 5 π 3 x\ =\ \frac{4\pi}{3}\ ,\ \ \ \frac{5\pi}{3} x = 3 4 π , 3 5 π

x = π 3 , 2 π 3 x\ =\ \frac{\pi}{3}\ ,\ \ \frac{2\pi}{3} x = 3 π , 3 2 π

x = 4 π 3 , π 3 x\ =\ \frac{4\pi}{3}\ ,\ \ \frac{\pi}{3} x = 3 4 π , 3 π

x = 2 π 3 , 5 π 3 x\ =\ \frac{2\pi}{3}\ \ ,\ \frac{5\pi}{3} x = 3 2 π , 3 5 π

x = 2 π 3 , 4 π 3 x\ =\ \frac{2\pi}{3}\ ,\ \ \ \frac{4\pi}{3} x = 3 2 π , 3 4 π

Given x : [0, 2 π], Solve the following equation: sin ⁡ x = − 1 \sin\ x\ =-1 sin x = − 1

x = 3 π 2 x\ =\ \frac{3\pi}{2} x = 2 3 π

x = π 2 o r 3 π 2 x\ =\ \frac{\pi}{2}\ \ or\ \ \frac{3\pi}{2} x = 2 π o r 2 3 π

x = 0 , π , 2 π x\ =\ 0\ ,\ \pi\ ,\ 2\pi x = 0 , π , 2 π

x = π , 2 π x\ =\pi\ ,\ \ 2\pi x = π , 2 π

x = π 2 x\ =\ \frac{\pi}{2}\ \ x = 2 π

Given x : [0, 2 π], Solve the following equation: 12 cos ⁡ x + 6 √ 3 = 0 12\cos x+6√3=0 1 2 cos x + 6 √ 3 = 0

x = 7 π 6 , 5 π 6 x\ =\ \frac{7\pi}{6}\ \ ,\ \ \ \frac{5\pi}{6} x = 6 7 π , 6 5 π

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

x = π 6 , 5 π 6 x\ =\ \frac{\pi}{6}\ \ ,\ \ \ \frac{5\pi}{6} x = 6 π , 6 5 π

x = 7 π 6 , π 6 x\ =\ \frac{7\pi}{6}\ \ ,\ \ \ \frac{\pi}{6} x = 6 7 π , 6 π

x = π 6 , 11 π 6 x\ =\ \frac{\pi}{6}\ \ ,\ \ \ \frac{11\pi}{6} x = 6 π , 6 1 1 π

Given x : [0, 2 π], Solve the following equation: 8 sin ⁡ x + 4 = 0 8\sin x+4=0 8 sin x + 4 = 0

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

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

x = π 6 , 5 π 6 x\ =\ \frac{\pi}{6}\ \ ,\ \ \ \frac{5\pi}{6} x = 6 π , 6 5 π

x = 11 π 6 , π 6 x\ =\ \frac{11\pi}{6}\ \ ,\ \ \ \frac{\pi}{6} x = 6 1 1 π , 6 π

x = 7 π 6 , 5 π 6 x\ =\ \frac{7\pi}{6}\ \ ,\ \ \ \frac{5\pi}{6} x = 6 7 π , 6 5 π

Given x : [0, 2 π], Solve the following equation: − 10 cos ⁡ x + 6 = 1 -10\cos x+6=1 − 1 0 cos x + 6 = 1

x = π 3 , 5 π 3 x\ =\ \frac{\pi}{3}\ \ ,\ \ \frac{5\pi}{3} x = 3 π , 3 5 π

x = 4 π 3 , 5 π 3 x\ =\ \frac{4\pi}{3}\ ,\ \ \ \frac{5\pi}{3} x = 3 4 π , 3 5 π

x = π 3 , 2 π 3 x\ =\ \frac{\pi}{3}\ ,\ \ \frac{2\pi}{3} x = 3 π , 3 2 π

x = 4 π 3 , π 3 x\ =\ \frac{4\pi}{3}\ ,\ \ \frac{\pi}{3} x = 3 4 π , 3 π

x = 2 π 3 , 4 π 3 x\ =\ \frac{2\pi}{3}\ ,\ \ \ \frac{4\pi}{3} x = 3 2 π , 3 4 π

Given x : [0, 2 π], Solve the following equation: 14 sin ⁡ x + 7 2 = 0 14\sin x+7\sqrt{2}=0 1 4 sin x + 7 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"> = 0

x = 5 π 4 , 7 π 4 x\ =\ \frac{5\pi}{4}\ \ ,\ \ \ \frac{7\pi}{4} x = 4 5 π , 4 7 π

x = π 4 , 7 π 4 x\ =\ \frac{\pi}{4}\ \ ,\ \ \ \frac{7\pi}{4} x = 4 π , 4 7 π

x = 5 π 4 , 3 π 4 x\ =\ \frac{5\pi}{4}\ \ ,\ \ \ \frac{3\pi}{4} x = 4 5 π , 4 3 π

x = 3 π 4 , 7 π 4 x\ =\ \frac{3\pi}{4}\ \ ,\ \ \ \frac{7\pi}{4} x = 4 3 π , 4 7 π

x = 5 π 4 , π 4 x\ =\ \frac{5\pi}{4}\ \ ,\ \ \ \frac{\pi}{4} x = 4 5 π , 4 π

Given x : [0, 2 π], Solve the following equation: − 16 sin ⁡ x + 8 2 = 0 -16\sin x+8\sqrt{2}=0 − 1 6 sin x + 8 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"> = 0

x = 3 π 4 , π 4 x\ =\ \frac{3\pi}{4}\ \ ,\ \ \ \frac{\pi}{4} x = 4 3 π , 4 π

x = 5 π 4 , 7 π 4 x\ =\ \frac{5\pi}{4}\ \ ,\ \ \ \frac{7\pi}{4} x = 4 5 π , 4 7 π

x = π 4 , 7 π 4 x\ =\ \frac{\pi}{4}\ \ ,\ \ \ \frac{7\pi}{4} x = 4 π , 4 7 π

x = 5 π 4 , 3 π 4 x\ =\ \frac{5\pi}{4}\ \ ,\ \ \ \frac{3\pi}{4} x = 4 5 π , 4 3 π

x = 3 π 4 , 7 π 4 x\ =\ \frac{3\pi}{4}\ \ ,\ \ \ \frac{7\pi}{4} x = 4 3 π , 4 7 π

Given x : [0, 2 π], Solve the following equation: 5 cos ⁡ x + 2 = − 3 5\cos x\ +2=-3 5 cos x + 2 = − 3

x = π 2 o r 3 π 2 x\ =\ \frac{\pi}{2}\ \ or\ \ \frac{3\pi}{2} x = 2 π o r 2 3 π

x = 0 , π , 2 π x\ =\ 0\ ,\ \pi\ ,\ 2\pi x = 0 , π , 2 π

x = π 2 x\ =\ \frac{\pi}{2}\ \ x = 2 π

x = 3 π 2 x\ =\ \frac{3\pi}{2} x = 2 3 π

Given x : [0, 2 π], Solve the following equation: 5 sin ⁡ x − 2 = 3 5\sin x\ -2=3 5 sin x − 2 = 3

x = π 2 x\ =\ \frac{\pi}{2}\ \ x = 2 π

x = π 2 o r 3 π 2 x\ =\ \frac{\pi}{2}\ \ or\ \ \frac{3\pi}{2} x = 2 π o r 2 3 π

x = 0 , π , 2 π x\ =\ 0\ ,\ \pi\ ,\ 2\pi x = 0 , π , 2 π

x = π , 2 π x\ =\pi\ ,\ \ 2\pi x = π , 2 π

x = 3 π 2 x\ =\ \frac{3\pi}{2} x = 2 3 π

Absent 3/21/25 Quiz

25 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve on the domain [0,2π)
cos x + 1 = 0

0

No solution

π

3π/2

Tags

CCSS.HSF.TF.B.7

2.

MULTIPLE CHOICE QUESTION

5 mins • 2 pts

A

B

C

D

Tags

CCSS.HSF.TF.B.7

3.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Solve for 0≤x≤2π

4cos²x- 2 = 0

π/3, 5π/3

π/4, 7π/4

3π/4, 5π/4

π/6, 11π/6

Tags

CCSS.HSF.TF.B.7

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A

B

C

D

Tags

CCSS.HSF.TF.B.7

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Tags

CCSS.HSF.TF.B.7

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Tags

CCSS.HSF.TF.B.7

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the trigonometric equation in the interval $\left(0,\ 2\pi\right]$ .

$11\sin x+5=\sin x$

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

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

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

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

Tags

CCSS.HSF.TF.B.7

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the trigonometric equation in the interval $\left(0,\ 2\pi\right]$ .

$2\sin3x+\sqrt{3}=0$

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

$\frac{4\pi}{3},\frac{5\pi}{3}$

$\frac{4\pi}{9},\frac{5\pi}{9}$

$\frac{\pi}{6},\frac{4\pi}{9},\frac{2\pi}{9},\frac{5\pi}{9}$

Tags

CCSS.HSF.TF.B.7

9.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Which of the following are the correct solutions for the trigonometric equation in the interval $\left(0,\ 2\pi\right]$ ?

CHOOSE ALL THAT APPLY

$\cos x=0$

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

$\pi$

$2\pi$

$\frac{\pi}{2}$

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

20 questions

ASESMEN SUMATIF TENGAH SEMESTER

Quiz

•

9th Grade - University

20 questions

Part 2: Unit 2 Review

Quiz

•

10th Grade - University

20 questions

Barisan dan Deret

Quiz

•

11th Grade

20 questions

Fungsi Trigonometri

Quiz

•

11th Grade

20 questions

KUIZ ASAS MATEMATIK 1

Quiz

•

9th - 12th Grade

20 questions

QUIZ DE LIMITES

Quiz

•

11th Grade

21 questions

SIMULACRO DE MATEMÁTICAS PRUEBA SABER 11

Quiz

•

11th Grade - Professi...

20 questions

五年级数学复习

Quiz

•

1st Grade - University

Popular Resources on Wayground

7 questions

History of Valentine's Day

Interactive video

•

4th Grade

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

15 questions

Valentine's Day Trivia

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

Discover more resources for Mathematics

10 questions

Factor Quadratic Expressions with Various Coefficients

Quiz

•

9th - 12th Grade

10 questions

Evaluating Piecewise Functions Practice

Quiz

•

11th Grade

5 questions

Triangle Congruence Theorems

Interactive video

•

9th - 12th Grade

15 questions

Exponential Growth and Decay Word Problems Practice

Quiz

•

9th - 12th Grade

21 questions

Converting between Logs and Exponents

Quiz

•

11th Grade

20 questions

Classifying polynomials

Quiz

•

11th Grade

20 questions

special right triangles

Quiz

•

9th - 12th Grade

20 questions

Interpreting Scatter Plots

Quiz

•

8th - 12th Grade

Absent 3/21/25

Solve on the domain [0,2π)cos x + 1 = 0

Solve for 0≤x≤2π4cos2x - 2 = 0

Solve the trigonometric equation in the interval (0, 2π]\left(0,\ 2\pi\right](0, 2π] . 11sin⁡x+5=sin⁡x11\sin x+5=\sin x11sinx+5=sinx

Solve the trigonometric equation in the interval (0, 2π]\left(0,\ 2\pi\right](0, 2π] . 2sin⁡3x+3=02\sin3x+\sqrt{3}=02sin3x+3​=0

Which of the following are the correct solutions for the trigonometric equation in the interval (0, 2π]\left(0,\ 2\pi\right](0, 2π] ? CHOOSE ALL THAT APPLY cos⁡x=0\cos x=0cosx=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 on the domain [0,2π)
cos x + 1 = 0

Solve for 0≤x≤2π

4cos²x- 2 = 0

Solve the trigonometric equation in the interval $\left(0,\ 2\pi\right]$ .

$11\sin x+5=\sin x$

Solve the trigonometric equation in the interval $\left(0,\ 2\pi\right]$ .

$2\sin3x+\sqrt{3}=0$

Which of the following are the correct solutions for the trigonometric equation in the interval $\left(0,\ 2\pi\right]$ ?

CHOOSE ALL THAT APPLY

$\cos x=0$