Mixture
Find the angle of smallest possible positive measure coterminal with -230°.
130°
When given x and y values, what formula do you have to use to find r?
Pythagorean Theorem
OR
x2 + y2 = r2
When writing interval notation, why do we use parentheses when writing -∞ and ∞? What does -∞ and ∞ represent?
It can't equal ∞ because it is a direction, so we use parentheses.
Find the midpoint of the line segment connecting the points (-3,9) and (7,4).
(2, 6.5)
What is the terminal side of an angle?
The side that is rotated away from the initial side.
A water tower casts a shadow of 36 ft at the same time that a 12-in. ruler casts a shadow of 3 in. How tall is the water tower?
144 ft
Given the point (0,1), what is the value of tanΘ?
Undefined
Find the domain and range of
y = x2 + 5
D: (-∞,∞)
R: [5,∞)
Find the measure of two supplementary angles with measures (2z - 3)° and (4z)°.
58° and 122°
What is a vertical angle?
Opposite angles made by two intersecting lines
90° 29' + 18° 52'
111° 21'
Find sinΘ and cosΘ, given the following:
tanΘ = 3/5 secΘ < 0
All Seniors Take Calculus!
sinΘ = -3(square root 34) / 34
cosΘ = -5(square root 34) / 34
Evaluate f(x) = square root of (2x2 - 5) at f(-3)
square root of 13
Convert 62.04° to degrees, minutes, and seconds
62° 2' 24''
What is the equation for two complementary angles? Use variables to represent the two angles.
x° + y° = 90°
(csc90°)(sin180°)+sec2180°
1
csc2(90)° +(sin270°)(tan180°)
1
What is the domain and range of the function
f(x) = square root of (x)?
R: [0,∞)
A radio antenna casts a shadow of 90 ft at the same time that a yard-long stick casts a shadow of 27 in. How tall is the radio antenna?
120 ft
What is a quadrantal angle? List two quadrantal angles.
A quadrantal angle is an angle in standard position whose terminal side lies on an axis.
0°,90°,180°,270°,360°
tan(180)° + cos(180)° - 4sin(270)°
3
Find csc, sec, cot of the angle when given (4, -2)
csc Θ = - square root 5
sec Θ = square root 5 / 2
cot Θ = -2
Find the domain of the function:
1
________________________
square root of (x-4)
(4,∞)
Use the distance formula to determine if the points (-4,6), (5,-2), and (4,7) are the vertices of a right triangle.
Not a right triangle
How many radians are in one full rotation?
2pi