Free Trigonometry questions for IGCSE Additional Mathematics (0606), part of Geometry & trigonometry. Each question has the answer and the marking points an examiner would look for.
Generate a full Trigonometry worksheet →All Geometry & trigonometry questionsSolve 2 sec2y = 5 tan y for 0° ≤ y ≤ 360°.
| Part | Answer and marking points | Marks |
|---|---|---|
| 26.6°, 63.4°, 206.6°, 243.4° sec2y = 1 + tan2y M1 2tan2y − 5 tan y + 2 = 0 A1 tan y = 2 or ½ A1 26.6°, 63.4° A1 206.6°, 243.4° A1 | 5 |
Solve 2 sin x + √3 = 0 for 0° ≤ x ≤ 360°.
| Part | Answer and marking points | Marks |
|---|---|---|
| 240°, 300° Correct principal value B1 Second solution using symmetry M1 240°, 300° A1 | 3 |
Solve 3 tan x = 2 cos x for 0° ≤ x ≤ 360°.
| Part | Answer and marking points | Marks |
|---|---|---|
| 30°, 150° use of identity M1 2sin2x + 3 sin x − 2 = 0 (using tan = sin/cos) A1 sin x = ½ A1 30°, 150° A1 | 4 |
Show that sin x1 − cos x − sin x1 + cos x = 2tan x.
| Part | Answer and marking points | Marks |
|---|---|---|
| (a) | shown common denominator 1 − cos2x M1 sin x(1 + cos x) − sin x(1 − cos x) M1 2 sin x cos xsin2x A1 = 2 cos xsin x = 2tan x AG A1 | 4 |
Solve tan x = 1 for 0° ≤ x ≤ 360°.
| Part | Answer and marking points | Marks |
|---|---|---|
| 45°, 225° Correct principal value B1 Second solution using symmetry M1 45°, 225° A1 | 3 |
Solve 2 cos2x = 3 sin x for 0° ≤ x ≤ 360°.
| Part | Answer and marking points | Marks |
|---|---|---|
| 30°, 150° use of identity M1 2sin2x + 3 sin x − 2 = 0 A1 sin x = ½ A1 30°, 150° A1 | 4 |
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Meet Riyaz →Original Cambridge-style practice questions written for mentorriyaz.in. These are not Cambridge past paper questions, and this site is not affiliated with or endorsed by Cambridge University Press & Assessment. Updated 2026-11-04. Paper generator · mentorriyaz.in