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CAIE IGCSE Mathematics E6.4 Trigonometric functions Question Bank

Practise sketching sin x and cos x graphs and solving trigonometric equations over 0° to 360° with correct angle symmetry.

Syllabus
2028–2030
Course
Mathematics 0580
Level
Extended

Exam points

  • sketch sin x or cos x through key intercepts and turning points from 0° to 360°
  • solve a trig equation in the stated range and list every valid angle with no extras
  • use quadrant symmetry to find the paired angle after calculating the reference angle

Covered syllabus points

E6.4.1 Trigonometric graphsE6.4.2 Trigonometric equations

E6.4 Trigonometric functions question 1

[Maximum number: 7]

Question (a)

(a)

On the axes, sketch the graph of y=sin⁡xy=\sin x for 0∘⩽x⩽360∘0^{\circ} \leqslant x \leqslant 360^{\circ}.

Figure for Question (a) — CAIE IGCSE Mathematics Extended
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Question (b)

(b)

Describe fully the symmetry of the graph of y=sin⁡xy=\sin x for 0∘⩽x⩽360∘0^{\circ} \leqslant x \leqslant 360^{\circ}.

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Question (c)

(c)

Solve 4sin⁡x−1=24 \sin x-1=2 for 0∘⩽x⩽360∘0^{\circ} \leqslant x \leqslant 360^{\circ}.
x= and x=

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