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Precalc Semester 2
Type | Question | Formula |
---|---|---|
Polar to rectangular | y | y=rsin(Theta) |
Rectangular to polar | r | ((x^2)+(y^2))^(1/2) |
Rectangular to polar | Theta | tan^-1(y/x) |
Parametric Equations | Parabolic motion | X<t>=V<0>cos(Theta)t Y<t>=(-16t^2)+V<0>sin(Theta)t+Y<0> |
Parametric Equations | Circular Motion (Ferris Wheel) | X<t>= Y<t>= |
Sum/Diff IDs | sin(u+v) sin(u-v) | sin(u)cos(v)+cos(u)sin(v) sin(u)cos(v)-cos(u)sin(v) |
Sum/Diff IDs | cos(u+v) cos(u-v) | cos(u)cos(v)-sin(u)sin(v) cos(u)cos(v)+sin(u)sin(v) |
Sum/Diff IDs | tan(u+v) tan(u+v) tan(u-v) tan(u-v) | (tan(u)+tan(v))/(1-tan(u)tan(v)) (sin(u)cos(v)+cos(u)sin(v))/(cos(u)cos(v)-sin(u)sin(v)) (tan(u)-tan(v))/(1+tan(u)tan(v)) (sin(u)cos(v)-cos(u)sin(v))/(cos(u)cos(v)+sin(u)sin(v)) |
Double angle | Sin(2u) | 2sin(u)cos(u) |
Double angle | Cos(2u) | |
Polar to rectangular | x | x=rcos(Theta) |