Pre-Calculus Chapter 6

For Pre-Calculus class Chapter 6 unit. Learning about Law of Sines, Cosines, and Vectors. YAY.

15 cards   |   Total Attempts: 189
  

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)