CAIE A-Level Mathematics AS 1.5.2 Exact Trig Values Questions

Practise arithmetic and geometric series methods within the AS mathematics syllabus.

Exam points

use vector notation and operations
solve geometric problems with vectors
interpret vector relationships

[Maximum number: 5]

For the case where angle $B A C=\frac{1}{6} \pi$ radians, find k correct to 4 significant figures.

$\triangle A D E=\frac{1}{2}(k a)^{2} \sin \frac{\pi}{6}$
Attempt to find the area of $\triangle A D E$ .
$\frac{1}{4} k^{2} a^{2}$
OE.
Sector $A B C=\frac{1}{2} a^{2} \frac{\pi}{6}$ $2 \times \frac{1}{4} k^{2} a^{2}=\frac{1}{2} a^{2} \frac{\pi}{6}$
OE. For $2 \times \triangle A D E=$ sector A B C with at least one
correct area.
$k=\left(\sqrt{\frac{\pi}{6}}\right)=0.7236$

All question bank results loaded

CAIE A-Level Mathematics AS 1.5.2 Exact Trig Values Questions question 1