+
Cards In This Set
| Front | Back |
|
How do you solve for a triangle by the Law of Sines?
|
A/Sin A = b/Sin B = c/Sin C
|
|
Area of a triangle by Sine.
|
A= (1/2)abSin C (or acSin C or bcSin A)
|
|
How do you know if there are 2 triangles?
|
H = bSin A and h
|
|
Solve for triangle by Law of Cosines?
|
A^2 = b^2 + c^2 - 2bcCos A (Or switch letters to correspond)
|
|
Area of triangle by Cosine.
|
A= sq/s(s-a)(s-b)(s-c)
S= (a+b+c)/2
|
|
Find the magnitude
|
Sq/(q1-p1)^2 + (q2-p2)^2 (aka distance formula)
OR
sq/(v1^2 + v2^2)
|
|
Component form?
|
or
(p-initial point;q-terminal point)
|
|
Unit Vector
|
V/||v|| or (1/||v||)v
|
|
Standard Unit Vector
|
I = j =
v1i + v2j (Linear)
|
|
Direction Angles
|
U = = (cos x)i + (sin x)j
|
|
Dot Product
|
and
u1v1 + u2v2
|
|
Angle between two vectors
|
Cos X = [u(dot)v]/||u||||v||
or
u(dot)v = ||u||||v||Cos X
|
|
How do you tell if a vector is orthogonal, parallel, or neither?
|
Orthogonal - Dot product is 0
Parallel - Same "slope"
|
|
Projection of U onto V
|
Proj(v)u = {[u(dot)v]/||v||^2}v
|
|
Trigonometric form of complex numbers
|
Z = r(Cos X + iSin X)
|
