Unit Circle
Graphs
Inverse Trig
Degrees, Radians and range of inverse
Trig Modeling
100
What quadrant is the following angle in?
-(3pi)/4
3rd quadrant
100
Which trig functions have vertical asymptotes at
x=pi/2+pi*n, n=ZZ
tangent and secant
100
Why is the domain of a trig function restricted when finding the inverse?
A function must be one-to-one (pass the horizontal line test) for its inverse to be a function.
100
What is the degree measurement for an angle of
(7pi)/4
315^o
100
This is the sinusoidal function graphed below, in terms of cosine.
What is
y=-cos(x-pi/2)-1 ?
200
Which trig functions are negative in the 2nd quadrant?
Cosine, Secant, Tangent, Cotangent
200
Is the following periodic, sinusoidal, or both?
Periodic, not sinusoidal
200
Which inverse trig function has the following graph?
arcsec(x)
200
What is the radian measurement for the given angle?
225^o
(5pi)/4
200
This is the equation of the sinusoidal function graphed below.
What is
y=sec(2x)+3 ?
300
What is the smallest positive coterminal angle to
-(2pi)/3
(4pi)/3
300
It is the function for this graph, in terms of tangent:
What is
y = tan(2theta)
?
300
Evaluate the following:
arctan(tan(pi))
0
300
What is the range of arcsec(x)?
0<=x<=pi
300
The graph of the sinusoidal function, in radians, that has a maximum point at (0,7) and then intersects its midline at (3,3) .
What is
y=4cos(pi/6x)+3 ?
400
Evaluate:
sec((4pi)/3)
-2
400
It is the range for this trig function:
y=-5cos(6x)+15
What is [10,20]?
400
Evaluate the following:
arccos(sin((5pi)/3))
(5pi)/6
400
What is the range of arctan(x)?
-pi/2<x<pi/2
400
The graph of this sinusoidal function has a minimum point at (0,2) and then has a maximum point at (3pi,6) .
What is y=-2cos(1/3 x)+4 ?
500
Given that...
sec(theta)<0
tan(theta)=-9/2
What is...
cos(theta)
cos(theta)=-(2sqrt85)/85
500
It is the period for this trig function:
y=5sin(30x)+90
What is
pi/15
?
500
Evaluate:
arctan(-sqrt3/3)
-pi/6
500
About how many degrees is one radian?
57.3 degrees
500
h is a trigonometric function of the form h(x)=a\sin(bx+c)+d .
The equation, in exact form, for the function below that intersects its midline at (-4\pi,2.5) and has a maximum point at (-(5pi)/2,6) .
What is y=3.5sin(1/3 x+(4pi)/3)+2.5 ?