Formula List Flashcards
Quadratic
2a
Pythagoras
a²+b² = c²
Trigonomery
sin = opp/hyp (SOH) cos = adj/hyp (CAH) tan = opp/adj (TOA)
Cosine rule - for the side
a² = b²+c²-2bcxcos(A)
Reverse cosine rule - for the angle
A = -1 (b²+c²-a²) cos x ( 2bc )
SIne rule - for the length
a b c
——— = ——— = ———
sin(A) sin(B) sin(C)
Sine rule - for the angle
sin(A) sin(B) sin(C)
——— = ——— = ———
a b c
Trapezium area
2
Circle area
πr²
Equilateral triangle area
2
Triangle area
0.5xabxsin(C)
Density
Volume
Distance
Speed x Time
Frequency density (what is this used for?)
Frequency
—————– (Histograms)
Class Width
Prism volume
Area cross section x length
Cone volume
1/3 x πr² x h
Mass
Density x Volume
Cylinder volume
πr² x l
Volume
Density
Speed
Time
Area (from pressure and force)
Pressure
Pyramid volume
1/3 x area base x h
Pressure
Area
Angle of a sector
……….. (arc length)
360x ( πr² )
Time
Speed
Sphere volume
4/3 πr^3
Arc length
x°
——- x π x d
360°
Force
Area x Pressure
Perpendicular gradient
Negative reciprocal - 2 = -1/2
Sphere surface area
4πr²
Class Width
Frequency Density
Parallelogram area
b x h
Parallelogram area
b x h
Gradient
Change in y {m - gradient}
—————— then - y = mx + c
Change in x {c - y intercept}