Trig equations like quadratics Quiz
10 questions · easy to harder · Trigonometry · score and step-by-step answers
How it works
- 10 questions, about 30 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 5 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise the lesson with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
1 Question 1
Solve 2 sin2 x − sin x − 1 = 0- A) x = 90°
- B) x = 90°, 210°, 330°
- C) x = −90°, 210°, 330°
- D) x = −90°, −210°, −330°
2 Question 2
Solve 2 sin2 x + sin x − 1 = 0Type the answer.
3 Question 3
Solve 2 sin2 x + 3 sin x + 1 = 0- A) 330°
- B) x = 210°
- C) 270°
- D) x = 210°, 270°, 330°
4 Question 4
Solve 2 sin2 x − 3 sin x + 1 = 0Type the answer.
5 Question 5
Solve sin2 x − 2 sin x − 3 = 0- A) x = 3°
- B) x = 2°
- C) x = 270°
- D) x = −1 or 3
6 Question 6
Solve sin2 x + 2 sin x − 3 = 0Type the answer.
7 Question 7
Solve 2 cos2 x + 5 cos x + 2 = 0- A) x = 120°
- B) x = 120°, 240°
- C) 240°
8 Question 8
Solve 2 sin2 x = 1 − sin xType the answer.
9 Question 9
Solve 2 sin2 x + 3 sin x = −1- A) x = −210°, 270°, 330°
- B) x = 210°
- C) x = 210°, 270°, 330°
- D) x = −210°, −270°, −330°
10 Question 10
Solve 2 cos2 x + cos x − 1 = 0 on 0 to 2πType the answer.