Let P be a point in the plane. (a) If P has polar coordinates (r, 0) then it has rectangular coordinates (x, y) where x = and y (b) If P has rectangular coordinates (x, y) then it has polar coordinates (r, 0) where r? and tan 0 =

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Q: Homework -2: Find the polar coordinates, 0 0, of the fol- lowing points given in Cartesian…

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A: Solution is given below:

Q: Let P be a point in the plane. (a) If P has polar coordinates (r, O) then it has rectangular…

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Q: 1. (a) For the point (r, 0) = (3, T/2), find its rectangular coordinates. (b) For a point (x, y) =…

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Q: Let P be a point in the plane. (a) If P has polar coordinates (r, 0) then it has rectangular…

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A: The given point is x,y=7,−2. Calculate r. r=x2+y2=72+−22=49+2=51=7.14

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Q: 1. Consider the point in the plane whose Cartesian coordinates are (x, y) = (-10, 24). 1.1. Find…

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Q: 1. What are the rectangular coordinates of the point with polar coordinates (r, 0) = (10, 45°)?

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Q: 1. What are the rectangular coordinates of the point with polar coordinates (r, 0) = (4, 45°)? (x,…

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Q: a. Show that every vertical line in the xy-plane has a polar equation of the form r = a sec u. b.…

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Q: 3. What are the rectangular coordinates of the point with polar coordinates (r, 0)= ( 2, ? 4 (x, y)…

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Q: 5T (4, 6. Given a point with polar coordinates (i) find rectangular coordinates (x, y) of the given…

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A: This question is based on conversion of polar coordinates to rectangular Cartesian coordinates.