Trigonometry Quiz
15 questions · free · new questions every attempt · Updated September 26, 2026
Trigonometry links angles and side lengths in triangles, and it powers everything from surveying to sound waves. This quiz checks the foundations: right-triangle ratios, the exact values for 30°, 45° and 60°, and conversions between degrees and radians.
What this quiz covers
- Sine, cosine and tangent as ratios of sides
- Exact values for special angles
- Converting degrees to radians
- Converting radians to degrees
- Using SOH-CAH-TOA to choose the correct ratio
- Simplifying trig fractions
How to prepare
Remember SOH-CAH-TOA: sine is opposite over hypotenuse, cosine is adjacent over hypotenuse, tangent is opposite over adjacent. Learn the values for 30°, 45° and 60° once, then everything else follows from symmetry. Convert degrees to radians by multiplying by π/180. Our degrees vs radians guide has a full table.
Sample questions with answers
These five questions show the style. Your quiz above will have different numbers each time.
- In a right triangle the opposite side is 5, the adjacent side is 12 and the hypotenuse is 13. What is sin(θ)?
Show answer
5/13. sin = opposite ÷ hypotenuse (SOH).
- What is sin(30°)?
Show answer
1/2. sin(30°) = 1/2 is one of the standard exact values.
- Convert 45° to radians.
Show answer
π/4. Multiply by π/180: 45 × π/180 = π/4.
- Convert π/4 radians to degrees.
Show answer
45°. Multiply by 180/π: π/4 → 45°.
- In a right triangle the opposite side is 3, the adjacent side is 4 and the hypotenuse is 5. What is sin(θ)?
Show answer
3/5. sin = opposite ÷ hypotenuse (SOH).
Frequently asked questions
What does SOH-CAH-TOA mean?
It is a memory aid: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.
What is sin 30°?
Exactly 1/2.
How many degrees are in π radians?
180°.
Keep practising
Degrees vs Radians6 min readPythagorean Theorem CalculatorFind the hypotenuse or a missing leg of a right triangle, plus area, perimeter and angles.
Multiplication Quiz15 questionsFractions Quiz15 questionsDecimals Quiz15 questionsReviewed September 26, 2026 by the SolveCalcPro editorial team. Questions are generated from tested formulas. Spot a mistake? Tell us.