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Solve trigonometric equations

12th grade (Year 13 in England) · 16 questions · Common Core: HSF.TF.B.7

Name

Date

Score/ 16

  1. Question 1

    Solve cos x = 1/2 for 0° ≤ x < 360°. Give the smaller solution in degrees.

    Answer

  2. Question 2

    Solve sin x = −1/2 for 0° ≤ x < 360°. Give the larger solution in degrees.

    Answer

  3. Question 3

    Solve sin x = 1/2 for 0° ≤ x < 360°. Give the smaller solution in degrees.

    Answer

  4. Question 4

    Solve sin x = −1/2 for 0° ≤ x < 360°. Give the smaller solution in degrees.

    Answer

  5. Question 5

    Solve cos x = −1/2 for 0° ≤ x < 360°. Give the larger solution in degrees.

    Answer

  6. Question 6

    Solve sin x = √2/2 for 0° ≤ x < 360°. Give the larger solution in degrees.

    Answer

  7. Question 7

    Solve cos x = 1/2 for 0° ≤ x < 360°. Give the larger solution in degrees.

    Answer

  8. Question 8

    Solve sin x = 1/2 for 0° ≤ x < 360°. Give the smaller solution in degrees.

    Answer

  9. Question 9

    Solve tan x = −1 for 0° ≤ x < 360°. Give the larger solution in degrees.

    Answer

  10. Question 10

    Solve sin x = −1/2 for 0° ≤ x < 360°. Give the larger solution in degrees.

    Answer

  11. Question 11

    Solve sin x = 1/2 for 0° ≤ x < 360°. Give the smaller solution in degrees.

    Answer

  12. Question 12

    Solve cos x = 1/2 for 0° ≤ x < 360°. Give the larger solution in degrees.

    Answer

  13. Question 13

    Solve sin x = 1/2 for 0° ≤ x < 360°. Give the larger solution in degrees.

    Answer

  14. Question 14

    Solve sin x = √2/2 for 0° ≤ x < 360°. Give the smaller solution in degrees.

    Answer

  15. Question 15

    Solve cos x = 1/2 for 0° ≤ x < 360°. Give the larger solution in degrees.

    Answer

  16. Question 16

    Solve sin x = −1/2 for 0° ≤ x < 360°. Give the larger solution in degrees.

    Answer

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Answer key: Solve trigonometric equations

  1. 1. 60

  2. 2. 330

  3. 3. 30

  4. 4. 210

  5. 5. 240

  6. 6. 135

  7. 7. 300

  8. 8. 30

  9. 9. 315

  10. 10. 330

  11. 11. 30

  12. 12. 300

  13. 13. 150

  14. 14. 45

  15. 15. 300

  16. 16. 330