Chapter 6
Calculating points
Midpoint: 
Distance:
Trig Formulas (Must be a right triangle)
cosec = hypotenuse / opposite
sec = hypotenuse / adjacent
tanθ = opposite / adjacent
cot = adjacent / opposite
cosθ = adjacent / hypotenuse
arcsinθ = 1 / sinθ
sinθ = opposite / hypotenuse
arccos = 1 / cosθ
arctan = 1/ tanθ
Unit Circle
Non-right triangles
Sine Rule: a/sinA = b/sinB = c/sinC
Cosine Rule: a^2 = b^2 + c^2 - 2(b)(c)(cosA)
SSA or SAA
Shapes
Surface Area
Sphere: 4(pi)(r^2)
Cone: (pi)(r^2) + (pi)(r)(slant height)
Volumes
Sphere: 4/3(pi)(r^3)
Cone: 1/3(pi)(r^2)(h)
Pyramid: 1/3(Abase)(h)
Parts of a circle
Length of an arc = rθ (radians)
Area of a sector: 1/2(r^2)θ (radians)
SAA (double angle) Triangles
sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
sin(2A) = 2sin(A)cos(A)
cos(2A)
2cos(2A) - 1
1 - 2cos(2A)
cos^2(A) - sin^2(A)
Trig Functions
y = asin[(b(x + c)] + d
c = phase (horizontal) shift
d = vertical shift = (max value + min value) / 2
b = 2pi / period
a = amplitude = (max value - min value) / 2