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10) 13) San Francisco Bay is an inlet of the Pacific Ocean. At a dock, the depth of the water is 3ft at low tide
10) 13) San Francisco Bay is an inlet of the Pacific Ocean. At a dock, the depth of the water is 3ft at low tide at 2 o'clock in the morning and high tide is 71ft. High tide to low tide occurs every 6 hours. a) Write an equation that models this sinusoidal situation. b) Use your equation to determine the depth of the water in the bay at 4am(CALCULATOR acitive) Evaluate in radians, give exact values when possible, otherwise round to 3 places. 14) csc-1/ 15) arccot _ 1 16) cos V3 17) cot 1/ - CALCULATOR acitive: 18) arccot(-3.67) 19) arccsc(-0.5) 20) arcsin(0.85) Evaluate: 21) sec-1 sec 1x 6 22 ) arcsin cos 23) arctan(cost) 24 ) sin 1 sin * ] ] 25) cos arcsin V3 2 26) cot arcesc = 27) cos sin- AHonors Precalculus Name Comprehension Check: Trig Graph Transformations Period: Date: Use calculator only where applicable Vid the following. You do not need to draw a graph. 1) domain of y=csc[2(x% 2) range of y=2secX5 rt . 1 3) asymptotes of y=tan 2 XZ 4) phase shift of y=C0 Exrr 5) Use the domain and range ofthe parent function to write domain and range of the transformed function. f(x)=2tan'1(3x+5) -325 Domain: Range: Graph one period showing at least 5 attributes (points or asymptotes, which ever applies) y=4sec(2x27r)+1 7)y:2tan(2(x))+3 \\ 8) Graph: fork236:0"1 x + 7[ Write an equation giving the information or the graph. y = csc X with range: ( oo,4]U [2,co)), phase shift: 2, period: 4, vertical shift: down 1
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