Lesson 15

10. Which equation is not an identity? A. (1- tan' 0)(1-cos2 0)= sin 0-2sin'0 1- sin? 0 B. tan o sin d tan $ sing tano + sin tan o sin d C. cos x - sin' x -=1- tan x cos x + sin xcosx 1- cos y COs y sec y - D. tan y tan y 11. If tan x = 4/3 and x lies in the third quadrant, which is the correct ratio for cos X? A. 4/5 B. 3/5 C. - 4/5 D. - 3/5 MHF 4UB Unit Ill Workbook 44 12. A sine function has an amplitude of 5, a period of 4TT, and range (yER| 2Sys12) . Identify the correct equation of this function. A. y = 5sin 20+7 B. y =5sin 20-7 C. y =5sin 0.50+7 D. y = 5sin 0.50-7 .13. The arc length along a circle of radius 5 cm that corresponds to a rotational angle of 4 A. B. AT 5 45 TL 4 5 C. D. 4 TE 4 14. Simplify cos- cos - sin ~ sin A. cos- 117 B. sin- 1 1 30 C. Cos- D. sin- 30 30 30 15. At Port Novaterre at a certain time of year the water has a maximum depth of 21 m at 7:00 AM and a minimum depth of 9 m six hours later. At this port, the depth of the water, h(t), at any time of day, t, based on a 24-hour clock, is defined by an equation of the form h(t) = acos(k(t-d)) +c, where a and d are positive numbers. The equation that models this situation is A. h(t)=6cos(67(t-7))+10 B. h(t) =6cos #(t-7)+10 C. h(t) = 10cos "(t-7) +6 D. h(t) =6cos (t-7) +10