Trig equations like quadratics Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/trigonometry/trig-equations-like-quadratics/quiz/

1. 1

   Solve 2 sin² x − sin x − 1 = 0
   1. A) x = 90°
   2. B) x = 90°, 210°, 330°
   3. C) x = −90°, 210°, 330°
   4. D) x = −90°, −210°, −330°

2. 2

   Solve 2 sin² x + sin x − 1 = 0

   Answer: ____________________

3. 3

   Solve 2 sin² x + 3 sin x + 1 = 0
   1. A) 330°
   2. B) x = 210°
   3. C) 270°
   4. D) x = 210°, 270°, 330°

4. 4

   Solve 2 sin² x − 3 sin x + 1 = 0

   Answer: ____________________

5. 5

   Solve sin² x − 2 sin x − 3 = 0
   1. A) x = 3°
   2. B) x = 2°
   3. C) x = 270°
   4. D) x = −1 or 3

6. 6

   Solve sin² x + 2 sin x − 3 = 0

   Answer: ____________________

7. 7

   Solve 2 cos² x + 5 cos x + 2 = 0
   1. A) x = 120°
   2. B) x = 120°, 240°
   3. C) 240°

8. 8

   Solve 2 sin² x = 1 − sin x

   Answer: ____________________

9. 9

   Solve 2 sin² x + 3 sin x = −1
   1. A) x = −210°, 270°, 330°
   2. B) x = 210°
   3. C) x = 210°, 270°, 330°
   4. D) x = −210°, −270°, −330°

10. 10

    Solve 2 cos² x + cos x − 1 = 0 on 0 to 2π

    Answer: ____________________