Math trig test
what is the 2 pi rotation
1 full rotation
when finding the zeros for a interval
1) First, solve for which numbers make f (x)= 0 2) then we have to find what makes sin(x) = 0 3) Since the answer can only be between the interval x can only equal -2pi, -pi, 0, pi, 2pi
What do you do when you have to find all of the possible values of an ANGLE?
1) look to see what trig function (sin cos etc) 2) find the other side of the triangle through pythag (WHEN YOU FIND THE SQUARE ROOT ITS +/-) 3) graph (there will be two triangles) 4) write the trig function they are asking you to look for
What do you do when you have to find all of the possible values of an EQUATION?
1) look to see what trig function (sin cos etc) 2) solve the equation so you get the trig function = a fraction 2) find the other side of the triangle through pythag (WHEN YOU FIND THE SQUARE ROOT ITS +/-) 3) graph (there will be two triangles) 4) write the trig function equation they are asking you to look for (ex: theta= 5pi/6 + 2piN)
what is the pi over 2 rotation
1/4 rotation
what is the pi rotation
half rotation
What do you do when it asks for the zeros of a function?
make the equation equal to the zeros of the mother function and solve
what are the zeros of Cot
n pi over 2
what are the zeros of Csc
no zeros
what are the zeros of Sec
no zeros
what are the zeros of Tan
pi n
what are the zeros of Cos
pi over 2 times n
Sec of theta
r/x
Csc of theta
r/y
When finding the domain.....
the only part of the equation that will directly affect the domain is what is multiplied to the X
how do you draw the pi/4 special triangle?
the triangle on the right
how do you draw the pi/3 and pi/6 special triangle?
triangle on the left
Cos of theta
x/r
Cot of theta
x/y
Sin of theta
y/r
Tan of theta
y/x
what does the +2 pi n mean?
you put 2 pi n when you are finding all the possible values. it means a full rotation that will get you back to the same point.
what is the domain and range of Sec
D: all real numbers EXCEPT x doesn't equal pi over 2 n R: (-infinity, -1) (+1, +infinity)
what is the domain and range of Tan
D: all real numbers EXCEPT x doesn't equal pi over 2 n R: all real numbers
What is the domain and range of Sin
D: x= all real numbers R: [1,-1]
What is the domain and range of Cos
D: x= all real numbers R: [1,-1]
what is the domain and range of Csc
D: x= all real numbers EXCEPT x doesn't equal Pi n R: (-infinity, -1) (+1, +infinity)
what is the domain and range of Cot
D: x= all real numbers EXCEPT x doesn't equal Pi n R: all real numbers
who is going to fail their math test
Naomi Hazan
what are the zeros of Sin
Pi n
