Basic Ratios
The function whose ratio is opposite over adjacent
Tangent
180 degrees in radians
pi
The period of the parent function f(x) = cosx
2 pi
Adding or subtracting multiples of 360 helps when looking for this kind of angle
Coterminal
The graph of this trigonometric function has asymptotes.
Tangent
The ratio for cosecant
pi over 3 in degrees
60 degrees
The variable for the amplitude in f(x) = asinbx
a
30 degrees
The period length of the parent function f(x)=tanx
pi
The ratio for secant
hypotenuse over adjacent
-240 degrees in radians
-4 pi over 3
The transformation caused by a negative "a" value
Reflection (over the x axis)
Reference angles are between the terminal side of an angle and this axis
x-axis
f(x) = atanbx
This variable is also the y-coordinate of one halfway point.
a
A mnemonic used to remember the three main trigonometric ratios
SOHCAHTOA
5 pi in degrees
900 degrees
f(x) = asinbx
This variable changes the period length.
b
The reference angle for 5 pi over 3
pi over 3
f(x) = atanbx
Pi over b is equal to...
"y" is the equivalent of this trigonometric function when in the unit circle
Sine
13 pi over 6 in degrees
390 degrees
The function g(x) = -3cosx + 1 transforms in these three ways
1. Reflection
2. Vertical stretch (x3)
3. Up one
The reference angle for -7 pi over 6
pi over 6
f(x) = tanx
The distance between the halfway point and the asymptote is a fourth of this distance.