Trig & Pre-cal - Real World Applications of Trigonometric functions notes pg 3

REAL-WORLD APPLICATIONS OF TRIGONOMETRIC FUNCTIONS: INTRO eX. rubbits -> R=15,000c0s(*2t) + 20,000 -> population varies/s.000 in either direction of 20,000 so min. 20000 - 15,000-5,000 and may. 20,000 + 15,000 = 35,000 t ↓ am period vertical shift Coyotes - >2 = 2,000sin() + 4,000 -> min. 2000 and max. 4.000 -make a table of values from 1-24 ruths for each animal population Rabbit conote Time in months pop. pop. - rabbit population reaches a min. in the 12th month and a mux. in the 24th roth. The coupte population I 34,489 4.51' reaches a min. in the 18t month und a max, in the hith month I 32,940 5,000 3 301407 5.114 4 27,500 5,732 1. am - 160°C S 23882 5,432 2um- 15° C 201000 ⊥ roo - max 3 am- 14 7 14.118 5.432 4 am - 132 g 12.500 5,733 Sam. 13 9 9.393 5,41D I am 13 10 FrUI0 5,002 I am 1492 11 5.5II 4,520 8 am, gr min - 12 500O 4,UU3 p = aum Inc 13 5,511 53,484 10 an 110 14 7,018 3003 11 am 1982 15 9.393 2.584 # 12 Ism I 16 12,500 er270 17 16.118 2044 21 - 5 18 201000 2000 -min 14 23.882 2.027 20 27,500 ZrZuS 21 30/6072.582 f(t) = 37sin( -5) + 88 22 32990 2.945 23 34484 3476 max- 24 35,000 3.944