Inverses
What are the two ways to write the inverse of tangent x?
arctangent x and
tan^-1x
What is the domain and range of
arcsin x
Domain:
[-1,1]
Range:
[-pi/2, pi/2]
What is the period of
cotx
pi
What is
cos 0
1
Given that you know the info below, please tell me what the other five trig. values are
tan(x)=3/4
sin(x)=3/5 csc(x)=5/3
cos(x)=4/5 sec(x)=5/4
cot(x)=4/5
What is
sin^-1(1/2)
pi/6
What is
cos(arccos(-1/4))
-1/4
What is the phase shift for
f(x)=3cos(1/4x+pi/3)+4
Left
(4pi)/3
What is
sin ((7pi)/6)
-1/2
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
arccos(-1/2)
(2pi)/3
What is
arctan(tan 4)
Does not exist
What is the range for
f(x)=-2sin(1/3pix+2)-3
[-5,-1]
What is
tan ((-2pi)/3)
sqrt3
Given that a point on the terminal side of an angle, x, is (-5,6), what is
cos(x)
(-5sqrt61)/61
What is
arcsin(2)
Does not exist
What is
sin^-1(sin ((11pi)/6))
-pi/6
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)
What is
sec(-510^@)
(-2sqrt3)/3
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
What is
arctan(-1)
-pi/4
What is
sin(arctan(-3/4))
-3/5
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
Jasmine observes a plane flying high in the sky. She has special glasses that can measure the angle of elevation from where she is standing to the plane, as well as, that diagonal distance. That distance is 1000 miles and the angle of elevation is 30 degrees. How high is the plane in the air?
500 miles
You are a block away from a skyscraper that is 780 feet tall. Your friend is between the skyscraper and yourself. The angle of elevation from your position to the top of the skyscraper is 42 degrees. The angle of elevation from your friend's position to the top of skyscraper is 71 degrees. To the nearest foot, how far are your from your friend.
598 feet