Law of Sin/Cos + The Complex Plane - Unit 6 HPreCalc
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18 Terms
Heron’s Formula
Area of a triangle
Law of Sines
AAS, ASA, ASS (donkey/special case)
Law of Cosines
SAS or SSS
What is h
Use h’s relation to a and b to determine the number of triangles. (for acute triangles)
When are there 2 triangles
h < a < b when an acute triangle
only occurs in an acute triangle
When is there 1 triangle
When a > b in an obtuse triangle
when a = h, a > b, or a = b in an acute triangle
When are there no triangles
obtuse a < b or a = b
acute: a < h
What to do when asked to solve a triangle
The complex plane
Distance Formula
Trigonometric Form
z is the point. to convert back, rewrite the cos and sin in their ratios, then distribute r
Multiply Complex Numbers
Divide Complex Numbers
What form should your answer be in?
whichever form it is given to you in
Powers of complex numbers
roots of complex numbers
there are n roots with k=0,1,2,… n-1
multiple solutions
graphing roots of complex numbers
They are all the same distance apart
this a a cube root
