Chapter 4
Chapter 4- Graphing
Chapter 5
Chapter 6
Chapter 9
100
What is
tan ((-2pi)/3)
sqrt3
100
What is the period of
cotx
pi
100
Simplify:
(sinxcosx)/(1-cos^2x
cotx
100
Find the component form of the vector that has a initial point at (-3,7) and terminal point (-7,9).
<-4,2>
100
Given that the endpoints of the diameter of a circle are (-3,4) and (7,-8) find the equation of the circle.
(x-2)^2+(y+2)^2=61
200
arccos(-1/2)
(2pi)/3
200
What is the phase shift for
f(x)=3cos(1/4x+pi/3)+4
Left
(4pi)/3
200
Solve the following over the values
[0,2pi)
tan^2x-1=0
x=(pi/4),((3pi)/4),((5pi)/4),((7pi)/4)
200
Given the following two vectors find the following resultant vector:
a=-4i+8j
b=2i-3j
2a-3b
<-14,25>
200
Graph the following conic. Be sure label all the important information.
(x-3)^2/9-(y+2)^2/36=1
300
What is
sin^-1(sin ((11pi)/6))
-pi/6
300
What is the range for
f(x)=-2sin(1/3pix+2)-3
[-5,-1]
300
Solve the following over the values
[0,2pi)
1+sinx=sqrt3cosx
x= pi/6,(5pi)/6,(3pi)/2
300
Find the directional angle for the for the vector who has an initial point (0,1) and a terminal point (-5, -8).
theta=240.95^@
300
Find the equation of the ellipse given that the length of the minor axis is 8 and the foci are (-6,-6) and (-12,-6).
(x+9)^2/25+(y+6)^2/16=1
400
Given the following, please find the remaining five trig. values:
sin(x)=-5/13 and tan(x)>0
csc(x)=-13/5
cos(x)=-12/13 sec(x)=-13/12
tan(x)=5/12 cot(x)=12/5
400
Name the five points that would use to graph and specify whether there would be an asymptote at the point:
f(x)=2csc(pix-pi/4)+4
asymptotes through (1/4, 4), (5/4,4) and (9/4, 4)
Parabolas coming out of (3/4,6) and (7/4, 2)
400
Given that x is in Quadrant II, and below is true
sinx=(3sqrt5)/7
evaluate sin(2x)
(-12sqrt5)/49
400
Find the unit vector u in the direction of
w=<3,-7>
<(3sqrt58)/58,(-7sqrt58)/58>
400
Write the equation for the following conic:
(y+2)^2/25-(x-6)^2/16=1
500
Simon bought a new shop and wants to order a new sign for the roof of the building. From point P, he finds the angle of elevation of the roof, from ground level, to be 31º and the angle of elevation of the top of the sign to be 42º. If point P is 24 feet from the building, how tall is the sign to the nearest tenth of a foot?
7.2 feet
500
Please name the domain and range of the following graph:
f(x)=-3tan(1/4x-pi/4)+7
Domain:
RR, x!=3pi+4npi
Range:
RR
500
Find the exact value of:
sin((7pi)/12)
(sqrt6+sqrt2)/4
500
Find the angle between the vectors
a= <8,-4>
b= <-6,5>
166.76^@
500
9y^2-16x^2+32x+144y-16=0
After getting the following conic in standard form, identify what kind of conic it is; the center; vertices; covertices(if applicable; foci (if applicable); and asymptotes (if applicable):
(y+8)^2/64-(x-1)^2/36=1
Center (1,-8)
Vertices (1,0)(1,-16)
Covertices (7,-8) (-5,-8)
Foci (1,-18)(1,2)
Asymptotes y=4/3x-27/3
y=-4/3x-21/3