Sinsodial
Cosine
Polar
General
Equations
100

The sinusoidal function h has a minimum at the point (2pi, -1). The first maximum after reaching this minimum value occurs at the point (5pi, 7). What are the values of the period and amplitude of h ?

                                   


    

The period is 6pi and the amplitude is 4

100

                                               

The function F is given by f (x)=6cos(x). What are all values of X for 0<x<2pi  where f (x)=-3

                                   


    

x=2pi/3, x=4pi/3

100

Consider the graph of the polar function f(x) = 2 +3cos(x) in the polar coordinate system. Which of the following statements is true about the distance between the point with polar coordinates (f(x),x) and the origin.

The Distance is decreasing for 4pi/3<x<3pi/2, because f(x) is positive and increasing on the interval.

100

                                               

In the xy-plane, the graph of which of the following functions has a vertical asymptote at x = pi

                                   


    

y= csc(1/2x)

100

5+3sec(x)=11 where 0<x<2pi

pi/3,5pi/3

200

                                               

Let h be the function given by h(x)=sin(x). The period of the function k is twice the period of function h and the graph of k is a horizontal translation of h by -pi units. Which of the following defines k in terms of h

                                   


    

h(1/2

200

                                               

 In the xy two different angles a and b are in standard position and share a terminal ray. Based on this information, which of the following gives possible values for a and b 

                                   


    

                                                                          

                           

                                   


    

Pi/4 and 9 pi/4

200

6=sinx+5. Write a general rule

x= pi/2 +2piK

300

h(x) = acos(b(x+c))+d

max is (pi,6)

min is (2pi, 2)

what is b and d?

b= 1 and d=4

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