The point whose Cartesian coordinates are (2, 0) has the polar coordinates R = 2, Θ = 0 .
What are polar coordinates of (√2, 1)? Solution: Here we need to convert from rectangular coordinates to polar coordinates: P = (x, y) = (r, θ) r = ± √(x^2 + y^2); tan θ = y/x or θ = arc tan (y/x) So we have: P = (√2, 1) r = ± √[(√2)^2 + 1^2] = ± √3 θ = arc tan (y/x) = arc tan (1/√2) = arc tan (√2/2) ≈ 35.3°, which is one possible value of the angle. (√2, 1) is in the Quadrant I. If θ = 35.3°, then the point is in the terminal ray, and so r = √3. Therefore polar coordinates are (√3, 35.3°). Another possible pair of polar coordinates of the same point is (-√3, 215.3°) (180° + 35.3° = 215.3°). Edit: Note the negative in the r value.
There is no such number on a calculator. If you see "R" on a calculator, it is probably some calculation - for example, conversion from polar to rectangular coordinates. Check the manual for your calculator.
When the angle X = 45 or 225 degrees, or any other angle that falls at the same position as one of these angles in polar coordinates.
Well 12.4 fortnights equals a foot-pound, so as long as you remember to convert to spherical polar coordinates you just need to take the second derivative of Dallas with respect to psi.
absolute relative and polar coordinates definition
If the polar coordinates of a point P are (r,a) then the rectangular coordinates of P are x = rcos(a) and y = rsin(a).
The point whose Cartesian coordinates are (2, 0) has the polar coordinates R = 2, Θ = 0 .
The point whose Cartesian coordinates are (-3, -3) has the polar coordinates R = 3 sqrt(2), Θ = -0.75pi.
Check: wikiHow Plot-Polar-Coordinates Made things a lot easier.....
(-4,0)
polar
pole
(-6,6)
Some problems are easier to solve using polar coordinates, others using Cartesian coordinates.
You don't!
That is because - for example - some calculations are easier in polar coordinates, and some are easier in rectangular coordinates. For example, complex numbers are easier to add and subtract in rectangular coordinates, and easier to multiply and divide in polar coordinates.