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Positive angle
counterclockwise
Negative angle
clockwise
radians to degrees
radian x 180/pi
degrees to radians
degree x pi/180
Coterminal angles
add or subtract 360 (2pi) from reference angle
sine
opposite/hypotenuse
cosine
adjacent/hypotenuse
tangent
opposite/adjacent
cosecant
hypotenuse/opposite
cotangent
adjacent/opposite
secant
hypotenuse/adjacent
30-60-90
45-45-90
Sin(0) R
1/csc(0)
Csc(0) R
1/sin(0)
Cos(0) R
1/sec(0)
Sec(0) R
1/cos(0)
Tan(0) R
1/cot(0)
Cot(0) R
1/tan(0)
Quotient Rule of Tan(0)
Sin(0)/Cos(0)
Quotient rule of Cot(0)
cos(0)/sin/(0)
sin^2(0)+cos^2(0)=
1
1+tan^2(0)=
sec^2(0)
cot^2(0)+1=
csc^2(0)
Cofunction identities
= to eachother, angles add up to 90 (ex: SinA=cos(90-A)
Sin(0) and cos(90) =
0
sin(30) and cos(60) =
1/2
sin(60) and cos(30) =
sqrt3/2
sin(45) and cos (45) =
sqrt2/2
sin(90) and cos(0)=
1
definition of cos(0)
x/r
definition of sin(0)
y/r
r^2=
x^2+y^2
on a unit circle sin =
y coordinate
on unite circle cos =
x coordinate
on unit circle tan =
y/x
on unit circle csc =
reciprocal of sin
on unit circle sec =
reciprocal of cos
on unit circle cot =
reciprocal of tan
Reference angle measured from
nearest side of x axis
Even Property
cos(-30) = cos (30), also secant
Odd Property
Sin(-30)= - sin(30), tan, cot, and csc
reference angle when angle is bigger than
90
y=sinx
y=cosx
amplitude
|A|
Period
2pi/B
Phase shift
C/B
5 keypoint method
start x1 with phase shift, then x2 add period/4 and so on
for y values
plug points of keypoints into equation
Note
Flashcard