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Level 538

Polar Coordinates


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x=rcos0,
What are the 4 basic polar relationship equations?
pie/6
What is 30 degrees in radians?
pie/4
What is 45 degrees in radians?
pie/3
What is 60 degrees in radians?
pie/2
What is 90 degrees in radians?
2pie/3
What is 120 degrees in radians?
3pie/4
What is 135 degrees in radians?
5pie/6
What is 150 degrees in radians?
pie
What is 180 degrees in radians?
7pie/6
What is 210 degrees in radians?
5pie/4
What is 225 degrees in radians?
4pie/3
What is 240 degrees in radians?
3pie/2
What is 270 degrees in radians?
5pie/3
What is 300 degrees in radians?
7pie/4
What is 315 degrees in radians?
11pie/6
What is 330 degrees in radians?
2pie
What is 360 degrees in radians?
0
What is sin of 0 degrees?
1
What is cos of 0 degrees?
0
What is tan of 0 degrees?
infinity
What is cot of 0 degrees?
1
What is sec of 0 degrees?
infinity
What is csc of 0 degrees?
1/2
What is sin of 30 degrees?
root 2/2
What is sin of 45 degrees?
root3/2
What is the sin of 60 degrees?
1
What is the sin of 90 degrees?
root 3/2
What is the sin of 120 degrees
root 2/2
What is the sin of 135 degrees?
1/2
What is the sin of 150 degrees?
0
What is the sin of pie degrees?
-1/2
What is sin of 210 degrees?
-root 2/2
What is the sin of 225 degrees?
-root 3/2
What is the sin of 240 degrees?
-1
What is the sin of 270 degrees?
-root 3/2
What is the sin of 300 degrees?
-root 2/2
What is the sin of 315 degrees?
-1/2
What is the sin of 330 degrees?
0
What is the sin of 2pie degrees?
(r,θ,z)
cylindrical coordinates
(ρ,θ,φ)
spherical coordinates
R
√(x²+y²)
r*cosθ
x in cylindrical coordinates
r*sinθ
y in cylindrical coordinates
θ
arctan(y/x)
ρ(sinφ)(cosθ)
x in spherical coordinates
ρ(sinφ)(sinθ)
y in spherical coordinates
ρ*cosφ
z in spherical coordinates
ϕ
arccos(z/ρ); arcsin(r/ρ); arctan(r/z)
r dr dθ
dA in cylindrical coordinates
dV in spherical coordinates
ρ²sinφ dθ dφ dρ
|a||b|cosθ
dot product
|a||b|sinθ
cross product