Prease provide details if u wanna have full grades 1) 2) 3) 4) Find all polar co

Question

Prease provide details if u wanna have full grades 1) 2) 3) 4) Find all polar coordinate representations of the given rectangular point. the point zero, minus five the point five, three pi over two plus two n pi or the point minus five, pi over two plus n pi and n an integer the point minus five, three pi over two plus two n pi or the point five, pi over two plus n pi and n an integer the point minus five, pi plus two pi two pi n or the point five p n and n an integer the point minus five, three pi over four plus two n pi or the point five, seven pi over four plus two n pi and n an integer.

Explanation / Answer

the transformation is given by:

x = r*cos(theta)

y= r*sin(theta)

=> r = sqrt ( x^2 + y^2 ) = sqrt (0^2 + (-5)^2)

=> r = +5 , -5

now,

0= +5 *cos(theta) & 0 = -5*cos(theta)

=>theta should be odd multiple of (pi / 2 )

and

-5 = +5*sin(theta) & -5 = -5*sin(theta)

=>theta should be odd multiple of ( 3*pi / 2) for r= +5

and theta should be odd multiple of ( pi / 2) for r= -5

so the solution is :

option (1) ans...

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