In a right triangle, cosA=0.352 and sinA=0.936 . What is the approximate value of tanA?

What is the period of the parent cosine function, y = cos(x)?

360 degrees

What is the period of the cosine function shown in the graph?

1080

Which type of transformation of the parent function is shown by the graph?

horizontal stretch

Determine the following for the transformed cosine function shown whose period is 1,080 degrees. Frequency: b in the equation: Which could be an equation for this function?

1/1080 1/3 y=cos(x/3)

The period of a function is 4pi. How many cycles of the function occur in a horizontal length of 12pi?

3

Which type of transformation of the parent function would be shown by the graph?

horizontal stretch

Which could be the graph of the function?

first graph (the stretched one)

Which of the following have a frequency factor of b = 1?

1st 3rd 4th 7th

From the parent function y = sin(x), the function shown in the graph is shifted

pi/4 units to the right

Which could be the equation for the function shown in the graph?

y= sin(x- pi/4)

Consider the function Which of the following is true?

There is a phase shift to the left

Which is the graph of

second graph

When would two sine functions of the form y = sin(x - h) that have different values for h have the same graph? Explain.

Whenever their h values differ by a multiple of the period of the sine function. Since sine has period 2pi, it would happen when the values differ by a multiple of 2pi.

Which term gives the horizontal length of one cycle of a periodic function?

period

The graph of y=cos(x+pi/2) is the graph of the y = cos(x) shifted in which direction?

pi/2 units to the left

Which of the following is the graph of y=cos(2(x+pi))?

d

Which transformations are needed to change the parent cosine function to y=3cos(10(x-pi))?

vertical stretch of 3, horizontal compression to a period of pi/5, phase shift of p units to the right

What is the period of y = sin(3x)

2pi/3

Which of the following is the graph of y = sin(0.5x)?

d

Which of the following could be the equation of the function below? ans y=-2cos(2(x+pi))-1

c

Which transformations are needed to change the parent cosine function to the cosine function below? ans- vertical stretch of 2, horizontal compression to a period of pi/2, phase shift of pi units to the right, vertical shift of 1 unit down

d

What is the equation of the graph below? ans- y=cos(x+pi)

d

What is the phase shift of a periodic function?

a horizontal translation of the function

Which term gives the number of cycles of a periodic function that occur in one horizontal unit?

frequency

What is the general equation of a cosine function with an amplitude of 3, a period of 4p, and a horizontal shift of -p?

c

Which transformations are needed to change the parent cosine function to ans- vertical compression of 0.35, horizontal compression to a period of pi/4, phase shift of pi/4 units to the right

c

The graph of y=sin(x-3pi/2) is the graph of the y = sin(x) shifted in which direction?

b 3pi/2 units to the right

What is the general equation of a sine function with an amplitude of 2, a period of pi, and a horizontal shift of p units?

a

Which transformations are needed to change the parent cosine function to y=3 cosine of (10(x-pi))?

vertical stretch of 3, horizontal compression to a period of pi/5, phase shift of pi units to the right

Which term gives the number of cycles of a periodic function that occur in one horizontal unit?

frequency

What is the general equation of a cosine function with an amplitude of 3, a period of 4pi, and a horizontal shift of -pi?

y=3cos(0.5(x+pi))

Which of the following is the graph of y=cos(2(x+pi))?

D.

Which transformations are needed to change the parent cosine function to the cosine function below?

vertical stretch of 2, horizontal compression to a period of pi/2, phase shift of pi units to the right, vertical shift of 1 unit down

The graph of y=sin (x-3pi/2) is the graph of the y=sin(x) shifted in which direction?

3pi/2 units to the right

What is the equation of the graph below?

y=cos(x+pi)

The graph of y=cos(x+pi/2) is the graph of the y = cos(x) shifted in which direction?

pi/2 units to the left

Which of the following could be the equation of the function below?

y = -2cos(2(x+pi))-1

What is the phase shift of a periodic function?

a horizontal translation of the function

Which term gives the horizontal length of one cycle of a periodic function?

IT IS NOT amplitude

What is the general equation of a sine function with an amplitude of 2, a period of pi, and a horizontal shift of pi units?

y=2sin(2(x-pi))

Which transformations are needed to change the parent cosine function to y=0.35cos(8(x-pi/4))?

vertical compression of 0.35, horizontal compression to a period of pi/4, phase shift of pi/4 units to the right

What is the period of y = sin(3x)?

2pi/3

An angle that shares the same sine value of an angle that measures 5pi/4 radians is located where?

Cenry is asked to find the exact value of mc026-1.jpg. His steps are shown below. 1. Subtract mc026-2.jpg from mc026-3.jpg as many times as possible: mc026-4.jpg - mc026-5.jpg = mc026-6.jpg 2. Find the reference angle for mc026-7.jpg: mc026-8.jpg - mc026-9.jpg= mc026-10.jpg. 3. The cosine value for mc026-11.jpg is mc026-12.jpg. 4. The cosine value is positive because mc026-13.jpg is in the first quadrant. Which of the following describes Henry's errors?

A

On a unit circle, the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distance from the y-axis to the same point. What is sin thea?

B

Which values for thea have the same reference angles?

D

Which of the following is true for f(x) = -2sin(x) - 3?

C

Which formula gives the zeros of y = sin(x)?

B

If a vertical line is dropped from the x-axis to the point (12, -9) in the diagram below, what is the value of sec theta?

5/4

Which statement accurately describes how adding a number, n, to the function f(x)=sin(x) affects its graph?

A

The height, h, in feet of a ball suspended from a spring as a function of time, t, in seconds can be modeled by the equation h=Asin(b(t-h))+k. What is the height of the ball at its equilibrium?

D

In a right triangle, cosA=0.352 and sinA=0.936 . What is the approximate value of tanA?

2.659

In the triangle below, angle B measures 60° and BC is 18. What is the length of AC?

9 sqrt 3

Which function is the same as y=3cos(2(x+pi/2))-2?

B

What is the general equation of a sine function with an amplitude of 6, a period of pi/4, and a horizontal shift of pi/2?

C

Which of the following is cot(thea) sec(thea) in simplified form?

csc(theta)

What is the length of the hypotenuse in the triangle below?

B