Mathematics A H230: Trigonometry Topical Past Paper Questions

The diagram shows the curve with equation $ y = 5 + 3\cos(30x + 60)^{\circ} $, for $ 0 \leq x \leq 12 $. (a) (i) State the greatest value of $y$ for points on the curve. (ii) Determine the value of x for which this greatest value of y occurs. There are two points on the curve for…

A Ferris wheel at a fairground rotates in a vertical plane. The height above the ground of a seat on the wheel is h metres at time t seconds after the seat is at its lowest point. The height is given by the equation $ h = 15 - 14 \cos(kt)^{\circ} $, where k is a positive constant…

(a) Show that the equation $ 2\cos x\tan^{2}x = 3(1 + \cos x) $ can be expressed in the form $ 5\cos^{2}x+3\cos x-2=0. $ [ (b) In this question you must show detailed reasoning. Hence solve the equation $ 2\cos3\theta\tan^{2}3\theta=3(1+\cos3\theta), $ giving all values of $ \the…