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

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# Solving Trigonometric Equations, #2 (Grades 11-12)

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## Solving Trigonometric Equations, #2

1.
Solve $cos(theta) + 2 = 1.4$ for $0 <= theta <=pi$. Round the answer to 3 decimals places.
1. 0.927
2. 2.214
3. -0.927
4. 4.069
2.
Solve $sin(theta) + 0.3 = -0.3$ for $pi/2 <= theta <= (3pi)/2$. Round the answer to 3 decimal places, if necessary.
1. $pi$
2. 3.785
3. 2.498
4. 5.640
3.
Solve $tan(theta + (3pi)/4)+ 0.2 = 0.9$ on the interval $0 <= theta <= pi$. Round the answer to 3 decimals places.
1. 1.518
2. 3.316
3. 0.611
4. 1.396
4.
Solve $sin(theta) -0.5 = 0.1$ on the interval $pi <= theta <= 2pi$. Round the answer to 3 decimals places.
1. No solution.
2. 3.785
3. 5.640
4. 3.242
5.
Solve $cos(3/4 theta) = 5/8$ for $0 <= theta <= pi$. Round the answer to 3 decimals places.
1. 1.099
2. 1.433
3. 0.896
4. 1.194
6.
Find the value(s) of $theta$ which satisfy the equation $cos(theta - 0.2) = 7/9$, given that $0 <= theta <= 2pi$. There may be more than one correct answer. Round the answer(s) to 3 decimal places.
1. 4.204
2. 0.880
3. 5.804
4. 5.604
7.
Solve the equation $sin(x/2 + 4/3) + 0.3 = 0.75$ on the interval $[0,2pi]$. There may be more than one correct answer. Round the answer(s) to 3 decimal places.
1. 0.467
2. 3.608
3. 2.683
4. 4.117
8.
Which of the following are correct solutions to the equation $tan(2(x-1/2)) = 4/5$ on the interval $[0,2pi] ?$ Choose all correct answers. Round the answers to 3 decimal places.
1. 0.675
2. 0.837
3. 2.408
4. 5.550
9.
Solve $tan(1/4 x - 3) = 10$ on the interval $[0,2pi]$. There may be more than one correct answer. Round the answer(s) to 3 decimal places.
1. 1.471
2. 2.177
3. 5.318
4. No solution.
10.
Which of the following are correct answers to the equation $sin(2theta-pi/2) + 1 = 1/2$ for $0 <= theta <= 2pi ?$ Choose all correct answers.
1. $pi/6$
2. $(5pi)/6$
3. $(7pi)/6$
4. $(5pi)/3$
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