The point whose Cartesian coordinates are (2, 0)
has the polar coordinates R = 2, Θ = 0 .
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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.
oh my goodness not even dr.sheldon cooper can answer that
(7, -2)
The coordinate plane in 2-dimensional space has one point which is the origin. This point is usually denoted by the letter O and has coordinates (0, 0). There are usually two mutually perpendicular axes - one horizontal and one vertical. The first coordinate of any point is the distance of the point, in the horizontal direction, from the vertical axis. The second is its distance, in the vertical direction, from the horizontal axis. In space with 3 or more dimensions the coordinates are defined in an analogous manner.
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