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1.

Convert the rectangular coordinates (4√3,−4) to polar form. Let r>0 and 0≤θ<2π.

Enter your answer by filling in the boxes. Enter coordinates as simplified fractions or radicals in the simplest form.

 

Multiple questions deleted by Melody.  

We are not here to do all your homework.

 May 19, 2020
edited by Melody  May 24, 2020
 #1
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(1)     ( 4√3, - 4)   =   ( √48, - 4  )

 

r  =   √  [  (√48)^2  +(-4) ]  =   √[48 + 16]   =  √64  =   8

 

 θ =  arctan  ( -4/ 4√3 )    =  arctan  ( -1/ √3)  =   - pi/6  =  11pi/6

 

So

(r,  θ)   =  ( 4, 11pi/6)

 

 

cool cool cool

 May 19, 2020

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