Ceist Eile

Ceist Eile is in development. Features, questions and prices may change while we refine it.

Junior Cycle · Junior Cycle Maths

Junior Cycle Maths: Trigonometry

How often Trigonometry comes up on the Maths papers, every year it was asked, and questions to try.

HL Asked on 5 of the last 5 Higher Level papers, most recently in 2026. banker

OL Asked on 5 of the last 5 Ordinary Level papers, most recently in 2026. banker

Trigonometry, Higher Level(8 marks)

Quick ones on Trigonometry.

(a)In a right-angled triangle, sin A equals…
  1. adjacent ÷ hypotenuse
  2. opposite ÷ hypotenuse
  3. opposite ÷ adjacent
(b)In a right-angled triangle, tan A = 3/4. What is cos A?
  1. 5/4
  2. 3/5
  3. 4/5
(c)A ramp rises 1.2 m over a horizontal distance of 8 m. What angle does it make with the ground, to 1 d.p.?
  1. 8.5°
  2. 81.5°
  3. 8.6°
Show the answers

(a) opposite ÷ hypotenuse

(b) 4/5

(c) 8.5°

Your turn: Higher Level questions on Trigonometry.

Higher Level

Asked on 5 of the last 5 Higher Level papers, most recently in 2026. banker

Every paper, year by year

YearWhere it came up
2026Q11
2025Q8
2024Q13
2023Q8
2022Q8, Q12

Links open the State Examinations Commission’s paper for that year.

Ordinary Level

Asked on 5 of the last 5 Ordinary Level papers, most recently in 2026. banker

Every paper, year by year

YearWhere it came up
2026Q13
2025Q14
2024Q11
2023Q8
2022Q11

Links open the State Examinations Commission’s paper for that year.

More Trigonometry questions

Trigonometry, 2 marks

In a right-angled triangle, sin A = ?

  1. Adjacent ÷ hypotenuse
  2. Opposite ÷ adjacent
  3. Opposite ÷ hypotenuse
Show the answer

Opposite ÷ hypotenuse

SOH CAH TOA: Sin = Opposite over Hypotenuse. Cos = Adjacent over Hypotenuse. Tan = Opposite over Adjacent.

Trigonometry, 3 marks

A right-angled triangle has hypotenuse 10 m. Find the side opposite the 30° angle.

  1. 20 m
  2. 5 m
  3. 8.66 m
Show the answer

5 m

Opposite and hypotenuse means sin: opposite = 10 × sin 30° = 10 × 0.5 = 5 m. Using cos gives 8.66, the adjacent side.

Trigonometry, 2 marks

In a right-angled triangle, opposite = 3 and adjacent = 4. Which ratio equals 3/4?

  1. tan A
  2. sin A
  3. cos A
Show the answer

tan A

tan A = opposite ÷ adjacent = 3/4. With a hypotenuse of 5, sin A would be 3/5 and cos A would be 4/5.

Other Maths topics

All of Junior Cycle Maths