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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.
What else can I help you with?
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The point whose Cartesian coordinates are (2, 0) has the polar coordinates R = 2, Θ = 0 .
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Polar coordinates are another way to write down a location on a two dimensional plane. The first number in a pair of coordinates is the distance one has to travel. The second number in the pair is the angle from the origin.
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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.
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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.
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absolute relative and polar coordinates definition
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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).
What are 2 polar coordinates for the point 2 0?
The point whose Cartesian coordinates are (2, 0) has the polar coordinates R = 2, Θ = 0 .
What are 2 polar coordinates for the point -3 -3?
The point whose Cartesian coordinates are (-3, -3) has the polar coordinates R = 3 sqrt(2), Θ = -0.75pi.
Which set of polar coordinates are plotted on the graph below?
Check: wikiHow Plot-Polar-Coordinates Made things a lot easier.....
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(-6,6)
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Some problems are easier to solve using polar coordinates, others using Cartesian coordinates.
What is the relationship between the curl of a vector field and its representation in polar coordinates?
In polar coordinates, the curl of a vector field represents how much the field is rotating around a point. The relationship between the curl and the representation in polar coordinates is that the curl can be calculated using the polar coordinate system to determine the rotational behavior of the vector field.
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You don't!
