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Multiple-angle equations Quiz: printable

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Multiple-angle equations Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/trigonometry/multiple-angle-equations/quiz/

  1. 1

    Solve sin 2x = 12

    Answer: ____________________

  2. 2

    Solve sin 2x = −12

    Answer: ____________________

  3. 3

    Solve tan 2x = 1

    Answer: ____________________

  4. 4

    Solve cos 2x = 0

    Answer: ____________________

  5. 5

    Solve 2 cos 2x = √2

    Answer: ____________________

  6. 6

    Solve 2 sin 2x = −√2

    Answer: ____________________

  7. 7

    Solve tan 2x = −1

    Answer: ____________________

  8. 8

    Solve cos 3x = −12

    Answer: ____________________

  9. 9

    Solve cos 2x = −12 on 0 to 2π

    Answer: ____________________

  10. 10

    Solve sin 3x = 1

    Answer: ____________________

Answer key

  1. x = 15°, 75°, 195°, 255°
  2. x = 105°, 165°, 285°, 345°
  3. x = 22.5°, 112.5°, 202.5°, 292.5°
  4. x = 45°, 135°, 225°, 315°
  5. x = 22.5°, 157.5°, 202.5°, 337.5°
  6. x = 112.5°, 157.5°, 292.5°, 337.5°
  7. x = 67.5°, 157.5°, 247.5°, 337.5°
  8. x = 40°, 80°, 160°, 200°, 280°, 320°
  9. x = π/3, 2π/3, 4π/3, 5π/3
  10. x = 30°, 150°, 270°

Every answer solved step by step: steplyclass.com/trigonometry/multiple-angle-equations/quiz/answers/