CAIE IGCSE Additional Math 10.1 Use the Six Trigonometric Functions Questions

Practise Cambridge IGCSE Additional Mathematics by using exact sine, cosine and tangent values in triangle calculations and angle conversions.

Exam points

Use exact trigonometric values and standard-angle identities.
Apply sine, cosine and tangent relationships in triangles to determine exact lengths or ratios.
Convert between degrees and radians where required and retain exact surd forms.

[Maximum number: 3]

Figure for Question CAIE IGCSE Additional Math 10.1 Use the Six Trigonometric Functions Questions question 1 — CAIE IGCSE Additional Math

The diagram shows an equilateral triangle ABC with side a.
M is the midpoint of AC and angle $AMB=90^\circ$ .
Use the diagram to find $\sec 30^\circ$ .

$\frac{2}{\sqrt{3}}$ or $\frac{2\sqrt{3}}{3}$
B2 for $[BM=]\frac{\sqrt{3}a}{2}$ or $\sec^2 30=1+\left(\frac{1}{\sqrt{3}}\right)^2$ or $\cos^2 30=1-\left(\frac{a/2}{a}\right)^2$ oe
B1 for $[BM^2=]a^2-\frac{a^2}{4}$ soi

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CAIE IGCSE Additional Math 10.1 Use the Six Trigonometric Functions Questions question 1