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Arc Length formula
S=rθ
Area of a sector formula
A=1/2r2θ
Magnitude formula
||a||=√a12 +a22
Magnitude definition
the “size” of the vector
Dot product formula
<a1 , a2> * <b1 , b2> = <a1b1 + a2b2>
Adding vectors formula
<a1 , a2> + <b1 , b2> = <a1 + b1 , a2 + b2>
Period=
2π/b
Amplitude=
|a|
Step Size=
period/4
New Start/ phase shift
(inside)=0
Unit vector
||a||=1
sin2 θ + cos2 θ =
1
<a1 , a2> =
<||a||cos θ , ||a||sin θ>
Exact value means…
NO CALCULATOR!!!
Know law of sines
Know law of cosines
Work=
force * distance
Arithmetic means…
add
Geometric means…
multiply
For arithmtic an =
a1 + (n-1) d
For Arithmetic Sum=
n/2 (a1 + an)
For Geometric an =
am * r(n-m)
θ MUST be in…
RADIANS!!!
Cos starts…
peak/valley
Sin starts…
Midline
y intercept ⇒
x=0
x intercept ⇒
y=0
tan=
y/x
cos=
x/r
sin=
y/r
Where do you graph arcsin and arctan
right side
Where do you graph arccos
upper part