Double-angle identities 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 sin 2θ when sin θ = 35, θ in quadrant I- A) 25
- B) 65
- C) 16
- D) 2425
2 Question 2
Solve sin 2θ when sin θ = 513, θ in quadrant IType the answer.
3 Question 3
Solve cos 2θ when sin θ = 1213, θ in quadrant I- A) 25
- B) −119169
- C) 1013
- D) 169
4 Question 4
Solve cos 2θ when sin θ = 45, θ in quadrant IType the answer.
5 Question 5
cos 2θ when cos θ = −45, θ in quadrant II- A) 9
- B) 725
- C) 25
- D) −85
6 Question 6
cos 2θ when sin θ = −513, θ in quadrant IVType the answer.
7 Question 7
cos 2θ when cos θ = −1213, θ in quadrant III- A) 25
- B) 169
- C) −2413
- D) 119169
8 Question 8
sin 2θ when tan θ = 34, θ in quadrant IIIType the answer.
9 Question 9
tan 2θ when tan θ = −34, θ in quadrant II- A) −32
- B) −247
- C) 247
10 Question 10
cos 2θ when tan θ = −125, θ in quadrant IVType the answer.