The two legs of a right triangle measure 7 cm and 11 cm. What is the secant of the smallest angle?
root 170 / 11
100
Give the period and amplitude of the function:
y = - 0.75cos(2x-2) + 5
Period is pi
amplitude is 0.75
100
If sec (x) = 2, what is the value of x if 0
pi/3
100
What is the range of y = arcsin (x) ?
What is the range of y = arccos (x) ?
[-pi/2, pi/2]
[0,pi]
200
What is the perimeter of a 60 degree slice of a pizza with radius 7 inches?
21.3 inches
200
The cotangent of an angle is 11/3. What is the sine of that angle?
3 / root 130
200
Describe the graph y = 3 sin (2x).
This graph has a period of pi, an amplitude of 3, a maximum point of 3, a minimum point of -3, and a midline of y = 0.
200
Give the domain and range for:
f(x) = csc (x)
Domain: All real numbers except multiples of pi (pi*k)
Range: All real numbers except values between -1 and 1.
200
What is the exact value of tan inverse of root 3?
pi/3
300
A 100-degree arc of a circle has a length of 7 cm. To the nearest cm, what is the radius of the circle?
4 cm
300
Give the value of secant (11pi/2)
Undefined
300
What is the period of the function:
y = -3cos(pi x)
The period is 2.
300
What is the period of:
y = 3sec(4x)
The period is pi/2.
300
What is the exact value of arctan (1) ?
Give your answer in radians.
pi/4
400
Convert 13pi/20 to degrees.
117 degrees
400
The point (-3,0) is on the terminal side of angle theta. What is cosine of theta?
cosine theta = -1
400
Give an equation for a graph that looks exactly the same as:
y = sin(x), but whose parent function is y = cos(x).
y = cos (90 - theta)
400
What is the period of:
y + 2 = 2 cot (pi x) ?
The period is 1.
400
What is the degree measure of the smallest angle in a triangle with sides of 3, 4, and 5 units?
36.87 degrees
500
A bicycle with 26-inch-diameter wheels is traveling at 10 miles per hour. To the nearest whole number, how many revolutions does each wheel make per minute?
129 revolutions per minute
500
Find sin (theta) and tan (theta) if cosine (theta) = 2/3 and cotangent (theta) > 0.
sin (theta) = (root5)/3
tan (theta) = (root5)/2
500
How many asymptotes are there over 0 < x < 2pi for:
y = sec (x)
There are 2 asymptotes for the function y = sec(x) between 0 and 2pi.
500
True or False:
y = tan x is the same function as y = -tan (-x).
Explain.
y = tan x is an odd function, so it is the same as
y = -tan (-x)
500
Who is your best friend, and who is that person's boyfriend?