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

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

[ 2 ]

Question (b)

(b)

Solve the equation cos⁡x=0.294\cos x=0.294 for 0∘⩽x⩽360∘0^\circ\leqslant x\leqslant360^\circ.
x=orx=x=\quad\text{or}\quad x=

[ 2 ]

Question 2

[Maximum number: 5]

Question (a)

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

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

[ 2 ]

Question (b)

(b)

Solve the equation 5cos⁡x+3=05\cos x+3=0 for 0∘⩽x⩽360∘0^\circ\leqslant x\leqslant360^\circ.
x=x=\qquad or x=x=\qquad

[ 3 ]
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