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Find the Cartesian coordinates of the following points en in polar coordinates a

ID: 2870766 • Letter: F

Question

Find the Cartesian coordinates of the following points en in polar coordinates a. (4,0) b. (-4,n) c. 6. d. 4, The Cartesian coordinates of the point (4,0) are e an ordered pair. Typ an exact answer, using radicals as needed. e The Cartesian coordinates of the point (-4,T) are e an ordered pair. Typ e an exact answer, using radicals as needed. The Cartesian coordinates of the point 6 are e an ordered pair. Typ an exact answer, using radicals as needed. e The Cartesian coordinates of the point 4, are e an ordered pair. Typ an exact answer, using radicals as needed. e

Explanation / Answer

x= r cost ,y=rsint

a)(x,y)=(4cos 0 ,4sin 0) =(4,0)

b)(x,y)=(-4cos pi ,-4sin pi) =(4,0)

c)(x,y)=(6cos 2pi/3 ,6sin 2pi/3) =(-3,3sqrt3)

d)(x,y)=(4cos 7pi/3 ,4sin 7pi/3) =(2,2sqrt3)

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