Sine
How do we find the period for our Sine functions if they are in the form
y=Asin(Bx-C)
"What is "(2pi)/B
How do we find the Amplitude for our cosine functions if they are in the form
y=Acos(Bx-C)
"What is " |A|
What trigonometric functions graph do we use to graph secant?
What is Cosine
What trigonometric function do we use to graph Cosecant?
What is Sine.
What are the points that begin and end one period of the Tangent function?
What are vertical asymptotes.
Besides the vertical asymptotes, what are the other three points needed to graph the cotangent function?
What ar the x-intercept and the points 1/4 and 3/4 of the way between consecutive asymptotes?
Where is the starting point of the Sine graphs when there are no vertical or phase shifts
What is the origin, (0, 0)
Where is the starting point of the Cosine graphs when there are no vertical or phase shifts
What is (0, Maximum)
Where do the vertical asymptotes of the secant functions occur?
What is at the x-intercepts of the cosine function.
Where do the vertical asymptotes in the Cosecant function occur in relation to the graph of the sine function.
What are the x-intercepts of the sine function?
How would you find the placement of the vertical asymptotes for two full periods of the equation
y=Atan(Bx-C)
What is set
(Bx-C)=-pi/2,pi/2, and (3pi)/2
How would you find the placement of the vertical asymptotes for two full periods of the equation
y=Acot(Bx-C)
What is set
(Bx-C)=0, pi, and 2pi
What is the Amplitude of the function?
y=-3sin(pix-pi)
What is A = 3
What is the Period of the function?
y=-3cos(pix-pi)
What is 2
Where do the Maximums of secant functions occur in relation to cosine functions
What are the maximums occur at cosine's minimums
Where do the minimums of the cosecant function occur?
What are minimums occur where Sine has maximums?
What equation can we use the find the x-intercepts of an interval of the tangent function?
what is the equation
(x_1+x_2)/2
If we use the equation
(x_1+x_2)/2
to find the points 1/4 and 3/4 of the way through our interval, what x values will we need?
What are the x values at the first vertical asymptote, the x-intercept, and the second vertical asymptote?
What are the 5 critical points of the function
y=2sin(2x-pi)
What are the points
(pi/2, 0), ((3pi)/4, 2), (pi, 0), ((5pi)/4, -2), ((3pi)/2, 0)
What are the 5 critical points of the function
y=2cos(2pix+pi)
What are the points
(-1/2, 2), (-1/4, 0), (0, -2), (1/4, 0), (1/2, 2)
Where are the vertical asymptotes of the function
-1/2 sec(pix)
Where are the x-values of
x=1/2 and x=3/2
Where are the Vertical asymptotes in one period of the function
y=1/2csc(x/2)
What are the x values of
0, 2pi, and 4pi
Where are the x-intercepts of two periods of the equation
y=1/2tan(x/4)
What are the points
(0, 0), (4pi, 0)
Where are the x-intercepts of two periods of the equation
y=1/3cot(x/2)
What are the points
(pi, 0), (3pi, 0)
What are the 5 critical points of the function
y=-4sin(2pix)
What are the points
(0, 0), (1/4, -4), (1/2, 0), (3/4, 4), (1,0)
What are the 5 critical points of the function
y=1/2 cos(2x-pi)
What are the points
(pi/2, 1/2), ((3pi)/4, 0), (pi, -1/2), ((5pi)/4, 0), ((3pi)/2, 1/2)
What are the five critical points we would use from the reciprocal functions of
y=3sec(2pix-pi)
What are the points
(1/2, 3), (3/4, 0), (1, -3), (5/4, 0), (3/2, 3)
What are the five critical points we would use from the reciprocal function of
y=2csc(x/2-pi/4)
What are the points
(pi/2, 0), ((3pi)/2, 2), ((5pi)/2, 0), ((7pi)/2, -2), ((9pi)/2, 0)
What are the points 1/4 and 3/4 of the want through one interval of the equation
y=-3tan(x/4)
What are the points
(-pi, 3), (pi, -3)
What are the points 1/4 and 3/4 of the want through one interval of the equation
y=-2cot(x/2)
What are the points
(pi/2, -2), ((3pi)/2, 2)