CAIE IGCSE Mathematics Extended E6.4 Trigonometric Functions Topic Practice

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Covered syllabus points

E6.4.1 Trigonometric graphsE6.4.2 Trigonometric equations

Question 1

[Maximum number: 4]

Question (a)

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

Sketch the graph of y=cos⁡xy=\cos x for 0∘⩽x⩽360∘0^\circ\leqslant x\leqslant360^\circ.

[ 2 ]

Question (b)

(b)

cos⁡x=12\cos x=\frac{1}{\sqrt2} and x is a reflex angle.
Find the value of x.

[ 2 ]

Question 2

[Maximum number: 5]

Question (a)

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

Sketch the graph of y = sin x for 0° ≤ x ≤ 360°.

[ 2 ]

Question (b)

(b)

Solve the equation 2 + 5 sin x = 1 for 0° ≤ x ≤ 360°.

[ 3 ]

Question 3

[Maximum number: 3]

Solve tan⁡x=−13\tan x=-\frac{1}{\sqrt{3}} for 0∘⩽x⩽360∘0^{\circ} \leqslant x \leqslant 360^{\circ}.

Question 4

[Maximum number: 2]
Figure for Question 4 — CAIE IGCSE Mathematics Extended

Sketch the graph of y=cos⁡xy=\cos x for 0∘⩽x⩽360∘0^\circ\leqslant x\leqslant360^\circ.

Question 5

[Maximum number: 2]

cos⁡x=12\cos x=\frac{1}{\sqrt2} and x is a reflex angle.
Find the value of x.

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