ECAT Mathematics — Trigonometry
Trigonometry is part of the Mathematics section of the UET ECAT (30 of the 100 MCQs). It breaks into 9 subtopics, and we hold 77 ECAT-pattern practice MCQs on it, each with a written explanation. Tap a subtopic below to practise just that.
Subtopics (9)
How Trigonometry is tested
Across the 7 ECAT past papers on ParhaiKrlo, Trigonometry accounts for 33 questions. It appears in all 7, about 4.7 questions a paper. The heaviest was ECAT Past Paper 03, with 7 questions, and the most recent is ECAT Past Paper 07, with 3.
| Paper | Questions |
|---|---|
| ECAT Past Paper 07 | 3 |
| ECAT Past Paper 06 | 2 |
| ECAT Past Paper 05 | 5 |
| ECAT Past Paper 04 | 4 |
| ECAT Past Paper 03 | 7 |
| ECAT Past Paper 02 | 5 |
| ECAT Past Paper 01 | 7 |
Trigonometry MCQs from the ECAT past papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · ECAT Past Paper 07 · Trigonometry
The period of y = 3 sin(t/8) is:
- A.24π
- B.24
- C.8π
- D.16π
Show answer
Answer: D. 16π — 2π/(1/8) = 16π.
- Q2 · ECAT Past Paper 06 · Trigonometry
Find the angles between 0° and 180° for which sin x = 1/2.
- A.−30°, −150°
- B.30°, 150°
- C.30°, −150°
- D.−30°, 150°
Show answer
Answer: B. 30°, 150° — sin x = 1/2 in quadrants I and II: 30° and 180° − 30° = 150°.
- Q3 · ECAT Past Paper 05 · Trigonometry
Find all angles between 0° and 360° such that sin x = −1/2.
- A.210°, 330°
- B.30°, 150°
- C.30°, 210°
- D.330°, 150°
Show answer
Answer: A. 210°, 330° — Sine is negative in quadrants III and IV: x = 180° + 30° and 360° − 30°.