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This printable supports Common Core Mathematics Standard HSF-TF.B.7

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# Solving Trigonometric Equations (Grades 11-12)

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## Solving Trigonometric Equations

1.
For $-pi/2 <= theta <= pi/2$, solve $sin(theta) = sqrt(2)/2$.
1. $-pi/4$
2. $pi/4$
3. $(3pi)/4$
4. $pi/3$
2.
Solve $cos(theta) = sqrt(3)/2$ on the interval $[0, pi]$.
1. $(2pi)/3$
2. $(5pi)/6$
3. $pi/3$
4. $pi/6$
3.
Solve $tan(theta) = 1$ on the interval $(-pi/2, pi/2)$.
1. $pi/3$
2. $pi/2$
3. $pi/4$
4. $-pi/4$
4.
Solve $sin(theta) = 4/9$ on the interval $(-pi/2, pi/2)$. Round the answer to 3 decimal places.
1. 2.681
2. -0.461
3. 0.461
4. 0.589
5.
Solve $tan(theta) = 1/8$ for $-pi/2 < theta < pi/2$. Round the answer to 3 decimal places.
1. -1.450
2. 1.450
3. 0.719
4. 0.124
6.
Solve $sin(theta) = 1/2$ for $0 <= theta <= 2 pi$. Choose all correct answers.
1. $pi/6$
2. $pi/3$
3. $(5pi)/6$
4. $-pi/6$
7.
Solve $tan(theta) = 0.46$ for $0 <= theta <= 2pi$. Choose all correct answers, rounded to 3 decimal places.
1. 0.431
2. 1.140
3. 3.573
4. 5.852
8.
Solve $cos(theta) = -3/10$ on the interval $[0, 2pi]$. Choose all correct answers, rounded to 3 decimal places.
1. -1.266
2. 1.266
3. 1.875
4. 4.408
9.
Solve $sin(theta) = -3/4$ on the interval $[-pi/2, (3pi)/2]$. Choose all correct answers, rounded to 3 decimal places.
1. -0.848
2. 2.293
3. 3.990
4. 5.435
10.
Solve $cos(theta) = 9/10$ on the interval $[-pi, pi]$. Choose all correct answers, rounded to 3 decimal places.
1. -2.691
2. -0.451
3. 0.451
4. 2.691
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