Mathematics B 9-1 4MB1: Trigonometry Topical Past Paper Questions

Figure 4 Figure 4 shows solid ABCDE The horizontal base CDE is a triangle. The vertical face ABED is a trapezium. The point $F$ lies on $BC$ such that $BF:FC=2:1$ $$ \begin{array}{l}AC=20cm\quad AD=10cm\quad BE=15cm\quad DE=12cm\\\angle BCE=45^{\circ}\quad\angle ADC=\angle ADE=\a…

Figure 1 Figure 1 shows a right triangular prism ABCDEF The base ABCD is on a horizontal plane. $$ CF=DE=40cm\quad EF=DC=AB=100cm\quad\angle FBC=30^{\circ} $$ The point $H$ lies on the line $BF$ such that $BH = 57.5\,cm$ (a) Show that $ EH = 102.5 \, cm $ (3) (b) Calculate, in de…

Diagram NOT accurately drawn Figure 3 Figure 3 shows triangle ABC $$ AB=4\sqrt{3}\mathrm{~cm}\qquad BC=3\sqrt{5}\mathrm{~cm}\qquad AC=x\mathrm{cm}\qquad\angle BAC=15^{\circ} $$ Given that the exact value of $\cos 15^{\circ}=\frac{\sqrt{6}+\sqrt{2}}{4}$ (a) show that x is a soluti…