Mathematics AA: TRIGONOMETRY Topical Past Paper Questions

[Maximum mark: 5] (a) Show that $ 3\cos2x + 11\sin x = 3 + 11\sin x - 6\sin^{2}x $. [2] (b) Hence, or otherwise, solve the equation $ 3\cos2x + 11\sin x - 6 = 0 $ for $ 0^{\circ} \leq x \leq 180^{\circ} $. [3]

[Maximum mark:16] In this question all values of x and t are in radians. Consider the function $ f(x) = 6\cos(\pi x) $. (a) (i) Write down the amplitude of the graph of $f$. (ii) Find the period of $f$. [3] Consider a second function $ g(x) = -8 \sin(\pi x) $. The sum of these fu…

[Maximum mark: 6] In the following triangle ABC, AB = $\sqrt{6}$ cm, AC = 10 cm and cosB$\hat{A}$C = $\frac{1}{5}$. diagram not to scale Find the area of triangle ABC.