Trigonometry Practice Test
28 questions from 14 lessons · 85 minutes · percent score and grade · step-by-step answers
How it works
- 28 questions, about 85 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 7 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 these lessons next: the lessons of the questions you got wrong, with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
Formulas: the Trigonometry formula sheet.
1 Question 1
Convert 30° to radiansType the answer.
2 Question 2
Convert 5π/12 to degreesType the answer.
3 Question 3
Arc length radius 6, angle 2π/3- A) s ≈ 6
- B) s ≈ 12.57
- C) s ≈ 125.7
- D) s ≈ 1.257
4 Question 4
Sector area radius 12, angle 5π/6Type the answer.
5 Question 5
Exact value of sin 30°- A) 1
- B) 12
- C) 2
- D) √32
6 Question 6
Exact value of sin 270°Type the answer.
7 Question 7
Exact value of cos 150°Type the answer.
8 Question 8
Exact value of sin 420°Type the answer.
9 Question 9
Calculate sin−1(12)Type the answer.
10 Question 10
Calculate tan−1(√33) in degreesType the answer.
11 Question 11
Prove sin2 x + cos2 x = 1Type the answer.
12 Question 12
Simplify (1 + tan2 x) cos2 xType the answer.
13 Question 13
Exact value of sin 75°Type the answer.
14 Question 14
Calculate sin 100° cos 55° − cos 100° sin 55°Type the answer.
15 Question 15
Solve sin 2θ when sin θ = 35, θ in quadrant I- A) 25
- B) 65
- C) 16
- D) 2425
16 Question 16
cos 2θ when tan θ = −125, θ in quadrant IVType the answer.
17 Question 17
Solve 2 sin x − 1 = 0- A) x = 30°, 150°
- B) 150°
- C) x = −30°, −150°
- D) x = 30°
18 Question 18
Solve 2 cos2 x + cos x = 0Type the answer.
19 Question 19
Solve sin 2x = 12Type the answer.
20 Question 20
Solve sin 3x = 1Type the answer.
21 Question 21
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°
22 Question 22
Solve 2 cos2 x + cos x − 1 = 0 on 0 to 2πType the answer.
23 Question 23
Triangle A = 40°, B = 60°, a = 8, find b- A) b ≈ 108
- B) b ≈ 10.8
- C) b ≈ 1.08
24 Question 24
Triangle A = 50°, a = 12, b = 9, find BType the answer.
25 Question 25
Triangle a = 5, b = 7, C = 60°, find c- A) c ≈ 6.2
- B) c ≈ 1.4
- C) c ≈ 39
- D) c ≈ 35
26 Question 26
Triangle a = 8 cm, b = 6 cm, c = 5 cm, find BType the answer.
27 Question 27
Find the area of triangle a = 8, b = 5, C = 30°.Type the answer.
28 Question 28
Find the area of triangle a = 20, b = 3, C = 100°.Type the answer.