CAIE IGCSE Mathematics Extended E6.2.1 Know and Use the Sine Cosine and Tangent Ratios for Acute Angles in Questions

Use trigonometric ratios in right-angled triangles to calculate missing lengths and acute angles, showing the equation and keeping enough precision in your working.

Exam points

Use cosine or tangent with the correct side pair to calculate a missing length.
Use an inverse trigonometric ratio to find the requested acute angle.
Calculate a projection with cosine before finding the remaining segment.
Support a “show that” result with an equation and a more precise calculation.

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Figure for Question CAIE IGCSE Mathematics Extended E6.2.1 Know and Use the Sine Cosine and Tangent Ratios for Acute Angles in Questions question 1 — CAIE IGCSE Mathematics Extended

\section*{NOT TO SCALE}

The diagram shows a quadrilateral ABCD.
$C D=10 \mathrm{~m}$ and $D B=12 \mathrm{~m}$ .
Angle $D B A=90^{\circ}$ , angle $C D B=56^{\circ}$ and angle $A D B=34^{\circ}$ .

Calculate the length of AB.

8.09 or $8.094 \ldots$

M1 for $\tan 34=\frac{A B}{12}$ oe

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CAIE IGCSE Mathematics Extended E6.2.1 Know and Use the Sine Cosine and Tangent Ratios for Acute Angles in Questions question 1