121 plz SECTION 6.3 Properties of the Trigonometric Functions 405109. Is the tangent function even, odd, or neither? Is its graphsymmetric? With respect to what?T10. Is the cotangent function even, odd, or neither? Is its graphsymmetric? With respect to what?I. Is the secant function even, odd, or neither? Is its graphsymmetric? With respect to what?112. Is the cosecant function even, odd, or neither? Is its graphsymmetric? With respect to what?ymmetric? With respect to what?alsbon odnooe 01 bnoo 2gmmetric? With respect to what?lag d lo annn adi tadi ode Endemun laoand Extensionsa ad edi wode sAppicationsa120. Calculating the Time of a Trip Two oceanfront homes arelocated 8 miles apart on a straight stretch of beach, each adistance of 1 mile from a paved path that parallels the ocean.Sally can jog 8 miles per hour on the paved path, but only3 miles per hour in the sand on the beach. Because a riverflows directly between the two houses, it is necessary to jogin the sand to the road, continue on the path, and then jogdirectly back in the sand to get from one house to the other.See the figure. The time T to get from one house to the otheras a function of the angle 0 shown in the figure is1find the exact value of:3"ut lf f(0) = sin 6 and f(a) =(b) f(a) + f(a + 27) + f(a + 4)(a) f(-a)ule1find the exact value of:4'I14. If f(0) = cos 0 and f(a) =(b) f(a) + f(a + 27) + f(a – 27)(a) f(-a)Is li f(e) = tan 0 and f(a) = 2, find the exact value of:(b) f(a) + f(a + 7) + f(a + 2)(a) f(-a)16. If f(0) = cot 0 and f(a) = -3, find the exact value of:0 < 0 < "sloa2a T(0) = 1 +3 sin 0noon inenai odi lo(a) Calculate the time T for tan 0 =4 tan 0(b) f(a) + f(a + 7) + f(a + 47)nwob stiw1gmnaom41wo odines(a) f(-a)I. If f(0) = sec 0 and f(a) = -4, find the exact value of:(a) f(-a)(b) f(a) + f(a + 27) + f(a + 47)(b) Describe the path taken.IIR. If f(0) = csc 0 and f(a) = 2, find the exact value of:(a) f(-a)(c) Explain why 0 must be larger than 14°.(b) f(a) + f(a + 27) + f(a + 47)19. Calculating the Time of a Trip From a parking lot, youwant to walk to a house on the beach. The house is located1500 feet down a paved path that parallels the ocean, whichis 500 feet away. See the figure. Along the path you can walk300 feet per minute, but in the sand on the beach you canonly walk 100 feet per minute.The time T to get from the parking lot to the beachnouse expressed as a function of the angle 0 shown in thefigure isDrobeOcean4 mi4 mi TBeach1 miPaved pathRiverT(0) = 5 –50 < 0 <3 tan 0sin e'Calculate the time Tif you walk directly from the parking lotto the house.121. Predator Population In predator-prey relationships, thepopulations of the predator and prey are often cyclical. Ina conservation area, rangers monitor the red fox populationand have determined that the population can be modeled bythe function500Hint: tan e =1500OceanP(t) = 40 cos "+ 110 ball.r500 ftwhere t is the number of monthsfrom the time monitoring began.Use the model to estimate the-0-Вeach-x.-ForestPaved pathpopulation of red foxes inthe conservation area after1500 fO Parking lot10 months, 20 months, and30 months.

Name: 121 plz SECTION 6.3 Properties of the Trigonometric Functions 405109.
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Description: 121 plz SECTION 6.3 Properties of the Trigonometric Functions 405109. Is the tangent function even, odd, or neither? Is its graphsymmetric? With respect to what?T10. Is the cotangent function even, odd, or neither? Is its graphsymmetric? With respect