Maths Core WMA01/WMA02: TRIGONOMETRY Topical Past Paper Questions

Figure 4 A jet is flying over the sea. The height above sea level, H metres, of the jet is modelled by the equation $$ H=\frac{8000}{56+9\cos t^{\circ}+40\sin t^{\circ}}\qquad0\leqslant t\leqslant200 $$ where t is the time in seconds, measured from when the jet passed over a boat…

(a) Express $ 5\cos\theta - 3\sin\theta $ in the form $ R\cos(\theta + \alpha) $, where R > 0 and $ 0 (3) The height of sea water, H metres, on a harbour wall is modelled by the equation $$ H=6+2.5\cos\left(\frac{4\pi t}{25}\right)-1.5\sin\left(\frac{4\pi t}{25}\right),\quad0\leq…

(a) Express $ 2\sin x - 4\cos x $ in the form $ R \sin(x - \alpha) $, where $ R > 0 $ and $ 0 (3) In a town in Norway, a student records the number of hours of daylight every day for a year. He models the number of hours of daylight, H, by the continuous function given by the for…