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100
The maximum value of y = sin x is ______ and occurs at x = _____
maximum value is 1 at x = pi/2
100
What is the amplitude and period of y = -2 sin (pi x)?
A = 2 and P = 2
100
True or False: sin x = cos (x - pi/2)
True
100
What is the y-intercept of y = 2 sin x - 1
-1
100
What is the y-intercept of y = sin x
0
200
The function y = A sin (wx) has amplitude 3 and period 2, then A = ___ and w = ____
A = 3 and w = pi
200
For what numbers x, -pi < x < pi is the graph of y = cos x increasing?
(-pi, 0)
200
What is the x-intercept of y = cos x on the interval [0, 2pi]
x = pi/2 and x = 3pi/2
200
The function y = 3 cos (6x) has A = ___ and P = ___
A = 3 and P = pi/3
200
For the graph of y = A sin (wx - t), the number t/w is called the ______
phase shift
300
Write the equation of the sine function that has A = 2, P = pi/2, and v.s. = -3
y = 2 sin (4x) - 3
300
For what numbers x, 0 < x < 2pi, does cos x = 0.
x = pi/2 and x = 3pi/2
300
If y = -1/2 cos (3/2)x, what is the A = ___ and P = ___
A = 1/2 and P = 4pi/3
300
If y = 4 sin (2x), the maximum value occurs at x = ___
x = pi/4
300
What is the largest value of y = sin x
1
400
If y = sin (-2pi/3 x), what is the period?
P = 3
400
If y = 2 cos (2pi x - 4), find A = ___, P = ___, and p.s. = ___
A = 2, P = 1, p.s. = 2/pi
400
Write the equation of the cosine function which is reflected about the x-axis and has an amplitude of 1, period of 2pi/3, and phase shift of pi/4.
y = - cos 3(x - pi/4)
400
The function y = 2 sin (x - 3pi/4) has one complete cycle graphed on the interval [3pi/4, ? ]
11pi/4
400
Write the equation of the sine function where A = 3, P = 3pi, and p.s. = -1/3
y = 3 sin 2/3 (x + 1/3)