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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.
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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 .
How do polar coordinates work?
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.
What number is r on a calculator?
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 does cos X equal sin X?
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.
How many killograms are in a terameter?
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.
What are absolute relative and polar coordinates?
absolute relative and polar coordinates definition
How do you convert polar to rectangular coordinates?
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.....
The following rectangular coordinates can be expressed by the polar coordinates: (4,pi)?
(-4,0)
An equation whose variables are polar coordinates is called a(n) equation?
polar
In polar coordinates, the origin is called the?
pole
The following rectangular coordinates can be expressed in the form of the polar coordinates: (6sqrt2,3pi/4)?
(-6,6)
What is the need for conversion of polar coordinate to Cartesian coordinate?
Some problems are easier to solve using polar coordinates, others using Cartesian coordinates.
How do you use polar coordinates in real life?
You don't!
How do polar coordinates work?
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.
