11.10.3

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Which of the following functions illustrates a change in amplitude?

y=-2cos6x

Which function's graph has a period of 2?

y=-4sinπx

The graph below represents which of the following functions?

y=3sin(2(x-π/3))

Which of the following is a sinusoid?

y=cos(x)-2

Which graph represents a phase shift of pi/2 units left for the graph of y=sinx

y=cosx

Which function has the range (-inifitity, 0]u[2,infinity)

y=csc(x) + 1

Which function has a domain of all real numbers except x=(pi/2) ± n(pi)

y=secx

Which is a true statement about a 45-45-90 triangle?

The hypotenuse is √2 times as long as either leg

cot^2x - csc^2x = -1 for all values of x.

True

Use the squared identities to simplify 2sin^2x sin^2x.

(3-4cos(2x)+cos(4x))/4

What is the minimum value that the graph of y=sinx assumes?

-1

Which is the equivalent of 172.98° written in DMS form?

172° 58'48"

1+cos(12x)=_.

2cos^2(6x)

What is the circumference of a circular amphitheater with a diameter of 300 meters?

942.5 m

if ∆EFG, mE=30, mF=60, and mG=90. Which of the following statements about ∆EFG are true?

EF=2*FG EG=(√3/2)*EF EG=√3 * FG

sin(-x) = -cos(x) for all values of x.

False

Which description matches the transformations y=cos undergoes to produce y=3cos(-2x)?

Horizontal compression by factor 1/2, reflection through the y-axis, then vertical stretch by factor 3.

Which function's graph has asymptotes located at the values x=(pi//2) ± n(pi)

I and III only

The statement "cotx = 12/5, secx = -13/5

cannot be true because cotx is less than zero in quadrant 2.`

___ cosb = 1/2[sin(a+b) + sin(a-b)]

sina

Which of the following would be an acceptable first step in simplifying the expression sinx/ 1-cosx

sinx(1+cosx))/(1-cosx)(1+cosx)

Assuming cos t=.45 and cos w=.89 both t and w are positive, and both t and w determine a terminal point in quadrant 1, then which of the following statements best describes the relationship between t and w.

t>w

Angle of elevation ~ 2* Distance between observer and building ~ 5280 Find the height of the building

tan2=x/5280 x=184.38


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