The systems used to find the location of the point in a plane and find the rectangular and polar coordinates for the point P.

usagirl007A 2020-12-29 Answered
The systems used to find the location of the point in a plane and find the rectangular and polar coordinates for the point P.
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Anonym
Answered 2020-12-30 Author has 108 answers

Given:
The point P is given in the figure below
image
The below figure shows the relationship between the rectangular coordinates, (x, y) and polar coordinates (r,θ).
image
The Figure (1) shows that the point P has rectangular coordinates(1, 1).
Therefore, the value of x is 1 and the value of y is 1.
Formula to find r
r=x2+y2.
Substitute 1 for x and 1 for y in above formula.
r=12+12
=2
Formula to find θ
tanθ=yx
Substitute 1 for x and 1 for y in above formula.
tanθ=11
θ=tan1(1)
=π4
(tan1(1)=π4)
Therefore the value of r is 2 and value of θisπ4.
Thus the rectangular coordinates for point P are (1, 1) and coordinates are (2,π4).

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