CAIE IGCSE Mathematics Extended E6.4 Trigonometric Functions Topic Practice

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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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Question 2

[Maximum number: 5]

Question (a)

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

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

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Question (b)

(b)

Solve the equation 3sin⁡x+1=03\sin x+1=0 for 0∘⩽x⩽360∘0^\circ\leqslant x\leqslant360^\circ.
x=andx=x=\quad\text{and}\quad x=

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