Math 142 Chapter 5 Flashcards
S=r0(theta)
What equation is this used for?
Length of a Circular arc
In section 5.1 what does the letter r stand for?
Radius
In one mile how many feet?
5280FT
In one foot how many inches?
12in
What is the equation for linear speed?
distance units/time units
What is the equation for angular speed?
angle units/time units
What is the equation for angular speed and linear speed together?
v=rw
What is a reference angle?
The reference angle is the smallest angle formed between the terminal side of the angle and x-axis.
What is a coterminal angle?
Angles that share the same terminal side degrees.
What is a quadrantal angle?
A terminal side falling on an axis.
In what way do you draw the angle if it is positive?
counterclockwise
In what way do you draw the angle if it is negative?
clockwise direction.
What is the way to memorize the order of the quadrants of a graph are?
In a shape of a C. (1, 2. 3. 4.)
What is the name of the start of the angle drawn on a graph?
Initial side.
What is the name of the end of the angle drawn on a graph?
Terminal side.
What is the area of a sector equation?
A=1/2 (0)r^2
What is theta in section 5.1?
Central Angle.
What unit does central angle have to be in?
MUST be in radians.
What is the extension pythagorean theorem?
Sin^2(0)+Cos^2(0)=1
Why is the C^2=1?
C^2 is 1 because the radian of The Unit Circle is 1.
What does A.S.T.C mean?
All Students Take Calculus is an acronym to evaluate any cos or sin angle?
What is the domain of y=sin(x)?
(-00,00)
What is the range of y=sin(x)?
[-1,1]
What is the domain of y=cos(x)?
(-00,00)
What is the range of y=cos(x)?
[-1,1]
What is cos on the unit circle?
The cos is the x coordinates.
What is the sin on the unit circle?
The sin is the y coordinates.
What is tan?
Tangent
What is csc?
cosecant
What is sec?
secant
what is cot?
cotangent
how do you find the csc(0)?
1/y
How do you find the sec(0)?
1/x
how do you find the cot(0)?
x/y
What are even functions?
f(-x)=f(x) y-axis symmetry
ex: cos(-pi/3)=(pi/3)=1/2
What are odd functions?
f(-x)=-f(x) origin symmetry
ex:sin(-pi/6)=-sin(pi/6)=-1/2
What is pi/3? Give the (x,y) and degrees.
(1/2, sq3 /2), 60 degrees
What is pi/4? Give the (x,y) and degrees.
(sq2 /2, sq2 /2), 45 degrees
What is pi/6 Give the (x,y) and degrees.
(sq 3/2, 1/2), 30 degrees
what are the common angles?
30 degrees, 45 degrees, 60 degrees
WILL YOU STUDY WITH YOUR PRACTICE ON YOUR OWN?
Yes!!!
What are complementary angles?
two angles that add up to be 90 degrees or (pi/2)
what are supplementary angles?
two angles that add up to be 180 degrees or (pi)
What are cofunctions?
a relationship between functions
ex: sine - COsine
secant - COsecant
tangent - COtangent
Right Triangle Trigonometry
Using Soh-Cah-Toa
What is standard position?
The vertex of angle will be located on the origin of a graph
