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

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Solving Trigonometric Equations, #2

1. 
Solve [math]cos(theta) + 2 = 1.4[/math] for [math]0 <= theta <=pi[/math]. Round the answer to 3 decimals places.
  1. 0.927
  2. 2.214
  3. -0.927
  4. 4.069
2. 
Solve [math]sin(theta) + 0.3 = -0.3[/math] for [math] pi/2 <= theta <= (3pi)/2[/math]. Round the answer to 3 decimal places, if necessary.
  1. [math]pi[/math]
  2. 3.785
  3. 2.498
  4. 5.640
3. 
Solve [math]tan(theta + (3pi)/4)+ 0.2 = 0.9[/math] on the interval [math]0 <= theta <= pi[/math]. Round the answer to 3 decimals places.
  1. 1.518
  2. 3.316
  3. 0.611
  4. 1.396
4. 
Solve [math]sin(theta) -0.5 = 0.1[/math] on the interval [math]pi <= theta <= 2pi[/math]. Round the answer to 3 decimals places.
  1. No solution.
  2. 3.785
  3. 5.640
  4. 3.242
5. 
Solve [math]cos(3/4 theta) = 5/8[/math] for [math]0 <= theta <= pi[/math]. 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 [math]theta[/math] which satisfy the equation [math]cos(theta - 0.2) = 7/9[/math], given that [math]0 <= theta <= 2pi[/math]. 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 [math]sin(x/2 + 4/3) + 0.3 = 0.75[/math] on the interval [math][0,2pi][/math]. 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 [math]tan(2(x-1/2)) = 4/5[/math] on the interval [math][0,2pi] ?[/math] 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 [math]tan(1/4 x - 3) = 10[/math] on the interval [math][0,2pi][/math]. 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 [math]sin(2theta-pi/2) + 1 = 1/2[/math] for [math]0 <= theta <= 2pi ?[/math] Choose all correct answers.
  1. [math]pi/6[/math]
  2. [math](5pi)/6[/math]
  3. [math](7pi)/6[/math]
  4. [math](5pi)/3[/math]

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