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Solving Trigonometric Equations

Authored by Dustin Jasinski

Mathematics

11th Grade

CCSS covered

Used 64+ times

Solving Trigonometric Equations
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve 2cos⁡θ+3=22\cos\theta+3=2 on the interval 0≤θ<2π0\le\theta<2\pi

2π3,4π3\frac{2\pi}{3},\frac{4\pi}{3}

2π3,5π3\frac{2\pi}{3},\frac{5\pi}{3}

5π6,7π6\frac{5\pi}{6},\frac{7\pi}{6}

5π6,11π6\frac{5\pi}{6},\frac{11\pi}{6}

Tags

CCSS.HSF.TF.B.7

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve cos⁡θ=1\cos\theta=1 . Give a general formula for all the solutions.

θ=0+2kπ\theta=0+2k\pi

θ=π+2kπ\theta=\pi+2k\pi

θ=π2+2kπ\theta=\frac{\pi}{2}+2k\pi

θ=3π2+2kπ\theta=\frac{3\pi}{2}+2k\pi

Tags

CCSS.HSF.TF.B.7

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Use a calculator to solve sin⁡θ=0.48\sin\theta=0.48 on the interval 0≤θ<2π0\le\theta<2\pi .

0.50, 2.64

0.50, 5.78

0.50, 3.64

0.50, 2.07

Tags

CCSS.HSF.TF.B.7

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Use a calculator to solve 4sin⁡θ+3=04\sin\theta+3=0 on the interval 0≤θ<2π0\le\theta<2\pi . Round the answer to two decimal places.

3.99, 5.43

2.29, 5.43

2.42, 3.86

2.42, 5.56

Tags

CCSS.HSF.TF.B.7

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the equation cos⁡2θ−1=0\cos^2\theta-1=0 on the interval 0≤θ<2π0\le\theta<2\pi .

0,π0,\pi

π2,3π2\frac{\pi}{2},\frac{3\pi}{2}

0

π2\frac{\pi}{2}

Tags

CCSS.HSF.TF.B.7

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the equation 2sin⁡2θ−3sin⁡θ−2=02\sin^2\theta-3\sin\theta-2=0 on the interval 0≤θ<2π0\le\theta<2\pi

7π6,11π6\frac{7\pi}{6},\frac{11\pi}{6}

π2,7π6,11π6\frac{\pi}{2},\frac{7\pi}{6},\frac{11\pi}{6}

π2,5π6,7π6\frac{\pi}{2},\frac{5\pi}{6},\frac{7\pi}{6}

4π3,5π3\frac{4\pi}{3},\frac{5\pi}{3}

Tags

CCSS.HSF.TF.B.7

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the equation tan⁡θ+sec⁡θ=1\tan\theta+\sec\theta=1 on the interval 0≤θ<2π0\le\theta<2\pi

0

π4\frac{\pi}{4}

5π4\frac{5\pi}{4}

No solution

Tags

CCSS.HSF.TF.B.7

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