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Trigonometry Fundamentals

Trigonometry

An introduction to the study of triangles and the relationships between their sides and angles.

math geometry triangles
25 Questions Medium Ages 9+ Aug 11, 2026

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About this Study Set

This study set covers Trigonometry through 25 practice questions. An introduction to the study of triangles and the relationships between their sides and angles. Every question includes the correct answer so you can learn as you go — pick any format above to get started.

Questions & Answers

Browse all 25 questions from the Trigonometry Fundamentals study set below. Each question shows the correct answer — select a study format above to practice interactively.

1 In a right-angled triangle, what is the name of the side located opposite the right angle?
  • A Adjacent
  • B Hypotenuse
  • C Base
  • D Height
2 The study of trigonometry is primarily based on the properties of which geometric shape?
  • A Circle
  • B Square
  • C Triangle
  • D Rectangle
3 If one angle of a right-angled triangle is 90 degrees, what is the sum of the other two angles?
  • A 45 degrees
  • B 90 degrees
  • C 180 degrees
  • D 60 degrees
4 In a right-angled triangle, the sine of an angle is defined as the ratio of the length of the opposite side to the length of which other side?
  • A Adjacent side
  • B Hypotenuse
  • C Base
  • D Vertex
5 Which term describes a triangle where all three sides have different lengths?
  • A Equilateral
  • B Isosceles
  • C Scalene
  • D Right-angled
6 What is the total sum of the interior angles of any triangle?
  • A 90 degrees
  • B 180 degrees
  • C 270 degrees
  • D 360 degrees
7 Which ratio represents the tangent of an angle in a right-angled triangle?
  • A Opposite / Adjacent
  • B Adjacent / Hypotenuse
  • C Opposite / Hypotenuse
  • D Hypotenuse / Opposite
8 A triangle that has two sides of equal length is known as what?
  • A Equilateral
  • B Scalene
  • C Isosceles
  • D Obtuse
9 What is the name of an angle that measures exactly 90 degrees?
  • A Acute angle
  • B Obtuse angle
  • C Right angle
  • D Reflex angle
10 Which trigonometric function is defined as the ratio of the adjacent side to the hypotenuse?
  • A Sine
  • B Cosine
  • C Tangent
  • D Secant
11 An angle that measures less than 90 degrees is classified as what?
  • A Acute
  • B Obtuse
  • C Right
  • D Straight
12 What is a triangle called if all three of its angles are less than 90 degrees?
  • A Right triangle
  • B Obtuse triangle
  • C Acute triangle
  • D Straight triangle
13 If a triangle has an angle greater than 90 degrees, it is classified as what?
  • A Acute
  • B Obtuse
  • C Right
  • D Equilateral
14 In a right triangle, the side next to a specific angle (that is not the hypotenuse) is called what?
  • A Opposite
  • B Adjacent
  • C Hypotenuse
  • D Diagonal
15 Which instrument is commonly used to measure angles in geometry?
  • A Compass
  • B Protractor
  • C Ruler
  • D Scale
16 What is the value of the longest side in a right-angled triangle?
  • A Opposite
  • B Adjacent
  • C Hypotenuse
  • D Base
17 A triangle with three equal sides and three equal angles is called what?
  • A Scalene
  • B Isosceles
  • C Equilateral
  • D Right
18 If a triangle is 'equilateral', what is the measurement of each of its interior angles?
  • A 45 degrees
  • B 60 degrees
  • C 90 degrees
  • D 30 degrees
19 Which mathematician is often associated with the theorem relating the sides of a right-angled triangle?
  • A Pythagoras
  • B Einstein
  • C Newton
  • D Euclid
20 What is the name for a triangle that has one 90-degree angle?
  • A Acute triangle
  • B Obtuse triangle
  • C Right triangle
  • D Scalene triangle
21 In trigonometry, what does the 'hypotenuse' refer to?
  • A The shortest side
  • B The longest side
  • C An angle
  • D A vertex
22 The Greek letter 'theta' (θ) is commonly used in trigonometry to represent what?
  • A Side length
  • B Angle
  • C Area
  • D Perimeter
23 How many sides does a triangle have?
  • A 2
  • B 3
  • C 4
  • D 5
24 An angle of exactly 180 degrees is known as what type of angle?
  • A Right
  • B Acute
  • C Straight
  • D Reflex
25 Which geometric ratio relates the 'opposite' side to the 'hypotenuse' in a right triangle?
  • A Sine
  • B Cosine
  • C Tangent
  • D Cotangent
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