sin ⁡ 2 u + 4 cos ⁡ u = 3 cos ⁡ u \sin2u+4\cos u=3\cos u sin 2 u + 4 cos u = 3 cos u What are the solutions for u?

7 π 6 , π 2 \frac{7\pi}{6},\ \frac{\pi}{2} 6 7 π , 2 π

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

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

0 , π 4 0,\ \frac{\pi}{4} 0 , 4 π

Solving Trigonometric Equations Quiz

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Math

Trigonometry

Trigonometric Equations

Solving Trigonometric Equations

Authored by Rachel Schwartzbard

Mathematics

10th - 12th Grade

CCSS covered

Used 11+ times

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6 questions

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve for x: $5\cos x+\sqrt{2}=3\cos x$

$\pi$

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

DNE

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

Tags

CCSS.HSF.TF.B.7

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Select all possible answers to the equation $4\sin^2u+8=11$

$\frac{\pi}{3}$

$2\pi$

$\frac{\pi}{6}$

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

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

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$\frac{\pi}{6}$ is a possible solution to the equation $2\sin^2\alpha+3\sin\alpha-2=0$

True

False

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$\cot^2\theta-3\csc\theta+3=0$ Which of the following is NOT a solution to the equation?

$\frac{\pi}{2}$

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

$\frac{\pi}{6}$

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

Tags

CCSS.HSF.TF.B.7

OPEN ENDED QUESTION

15 mins • Ungraded

$\cos x+2=\sin\left(\frac{x}{2}\right)$ How many real solutions for x are there?

Evaluate responses using AI:

OFF

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$\sin2u+4\cos u=3\cos u$ What are the solutions for u?

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

$\frac{7\pi}{6},\ \frac{\pi}{2}$

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

$0,\ \frac{\pi}{4}$

Tags

CCSS.HSF.TF.B.7

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Solving Trigonometric Equations

Solve for x: 5cos⁡x+2=3cos⁡x5\cos x+\sqrt{2}=3\cos x5cosx+2​=3cosx

Select all possible answers to the equation 4sin⁡2u+8=114\sin^2u+8=114sin2u+8=11

π6\frac{\pi}{6}6π​ is a possible solution to the equation 2sin⁡2α+3sin⁡α−2=02\sin^2\alpha+3\sin\alpha-2=02sin2α+3sinα−2=0

cot⁡2θ−3csc⁡θ+3=0\cot^2\theta-3\csc\theta+3=0cot2θ−3cscθ+3=0 Which of the following is NOT a solution to the equation?

cos⁡x+2=sin⁡(x2)\cos x+2=\sin\left(\frac{x}{2}\right)cosx+2=sin(2x​) How many real solutions for x are there?

sin⁡2u+4cos⁡u=3cos⁡u\sin2u+4\cos u=3\cos usin2u+4cosu=3cosu What are the solutions for u?

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Similar Resources on Wayground

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Discover more resources for Mathematics

Solve for x: $5\cos x+\sqrt{2}=3\cos x$

Select all possible answers to the equation $4\sin^2u+8=11$

$\frac{\pi}{6}$ is a possible solution to the equation $2\sin^2\alpha+3\sin\alpha-2=0$

$\cot^2\theta-3\csc\theta+3=0$ Which of the following is NOT a solution to the equation?

$\cos x+2=\sin\left(\frac{x}{2}\right)$ How many real solutions for x are there?

$\sin2u+4\cos u=3\cos u$ What are the solutions for u?