/ 20 marks 1) Accurately sketch the function f(6) = 5 sin(36 + 270) 2 using key points and key features. Sketch at least 2 cycles of the function. [6 marks] 3) MSMisited London while on vacation and rode The London Eye Ferris wheel. After 15 minutes she hit a maximum height of 136 metres and then a minimum height of 1 metre after 30 minutes. a) Write a sinusoidal function to model this situation where, h is the height, in metres, above the ground, and t represents the time, in minutes, from when Ms .boarded the ride. I [4 marks] b) What is the radius of The London Eye? [1 mark] Page 2 of 4 MCR3UZ Unit 7: Trigonometry Name: c) At what time(s), to the nearest minute, is Ms Carone 99 metres above the ground during the first rotation? [2 marks] d) How long does it take to go around The London Eye once? MCRBUZ U nit 7: Trigonometry Page 3 of 4 Name: [1 mark] 3) Choose 1 identity from the set below to prove. Indicate your letter selection in the box below. [6 marks] SET I A) 1 tan2 6 tan6tan2 6 _ ' tan6 cos2 6 sin2 6 m526+sin6ms6 = 1tan6 I choose |:|