Sin, Cos, Tan
Csc, Sec, Cot
Identities
Equations
Graphs
100
sin(pi/3)=
sqrt3/2
100
csc(pi/6)=
2
100
sin^2x+cos^2x=
1
100
cosx=sqrt2/2; x=
pi/4, (7pi)/4
100
What function is this
Sinx
200
cos^-1(-1)=
pi
200
sec((5pi)/6)=
-2/sqrt3
200
cscx*cosx=
cotx
200
2sinx+1=-1; x=
(3pi)/2
200
What's the function?
cotx
300
tan((2pi)/3)=
-sqrt3
300
cot((7pi)/6)=
sqrt3
300
1+cot^2x=
csc^2x
300
Find all solutions on the interval [0, 2π]
cos2x=1/2
pi/6, 5pi/6, 7pi/6, 11pi/6
300
Identify the first two vertical asymptotes
cot(x/2); 0<=x
x=0, 2pi
400
sin((-17pi)/6)=
-1/2
400
sec((19pi)/3)=
2
400
sin((3pi)/4+pi/6)=
(sqrt6-sqrt2)/4
400
2sin^2x-sinx-1=0; x=
x=pi/2, 7pi/6, 11pi/6
400
Determine the amplitude and period of the function
Amplitude = 3
Period=π
500
Write an equation to model the position of point P:
The height of the center of a windmill is 14 feet above the ground. Point P is at the end of an arm, which is 6 feet long. Point P starts directly above the center and completes one rotation every 4 seconds.
6cos((pit)/2)+14
6sin(pi/2(t+1))+14
500
Give the coordinates of the first local minimum and first local maximum of
4csc(2x); 0<x
min=(pi/4, 4)
max=((3pi)/4, -4)
500
2cos^2x-1=
cos2x
1-2sin^2x
cos^2x-sin^2x
500
1+cosx=sin^2x; x=
x=pi/2, pi, 3pi/2
500
Graph (and label 4 points) for the following function
3sec(pix)
