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Fundamentals of Trigonometry

Trigonometry

A collection of introductory questions covering the basic definitions and historical origins of trigonometry.

math geometry education

15 Questions Easy Ages 12+ Sep 4, 2026

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About this Study Set

This study set covers Trigonometry through 15 practice questions. A collection of introductory questions covering the basic definitions and historical origins of trigonometry. Every question includes the correct answer so you can learn as you go — pick any format above to get started.

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Browse all 15 questions from the Fundamentals of Trigonometry study set below. Each question shows the correct answer — select a study format above to practice interactively.

1 Which branch of mathematics primarily studies the relationships between triangle side lengths and angles?

A Calculus
B Trigonometry
C Statistics
D Arithmetic

2 What is the Greek word from which the term 'trigonometry' is derived, meaning 'triangle'?

A Trigonon
B Metron
C Gonia
D Kyklo

3 In a right-angled triangle, what is the longest side called?

A Adjacent
B Opposite
C Hypotenuse
D Base

4 Which ratio in a right-angled triangle is defined as the 'opposite' side divided by the 'hypotenuse'?

A Cosine
B Tangent
C Secant
D Sine

5 What is the value of the sine of a 90-degree angle?

A 0
B 1
C 0.5
D Infinity

6 In a right triangle, the 'tangent' of an angle is equal to the ratio of which two sides?

A Opposite/Adjacent
B Adjacent/Opposite
C Hypotenuse/Opposite
D Opposite/Hypotenuse

7 The study of trigonometry is historically linked to the measurement of what type of shapes?

A Squares
B Circles
C Triangles
D Pentagons

8 Which trigonometric function is defined as the 'adjacent' side divided by the 'hypotenuse'?

A Sine
B Cosine
C Tangent
D Cosecant

9 In a right-angled triangle, how many degrees is the sum of the two non-right angles?

A 45 degrees
B 90 degrees
C 180 degrees
D 360 degrees

10 Which ancient civilization is credited with early developments in trigonometry for use in astronomy?

A Greeks
B Mayans
C Incas
D Celts

11 What is the mathematical constant 'pi' approximately equal to?

A 2.14
B 3.14
C 4.14
D 5.14

12 How many degrees are there in a full circle?

A 90
B 180
C 270
D 360

13 The abbreviation 'SOH CAH TOA' is used to remember the basic ratios of which field?

A Algebra
B Geometry
C Trigonometry
D Physics

14 Which trigonometric function is the reciprocal of the sine function?

A Cosecant
B Secant
C Cotangent
D Cosine

15 In which type of triangle must the Pythagorean theorem (a² + b² = c²) always apply?

A Equilateral
B Isosceles
C Right-angled
D Scalene

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