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1. Convert the rectangular coordinates (5,−5√3) to polar form. Let r>0 and 0≤θ<2π .

Enter your answer (_,_). Enter coordinates as simplified fractions or radicals in simplest form.

 

 

2. p and q are complex numbers such that |p|=7√2 and |p+q|=12√3 .

On what interval must |q| fall on?

A [7√6/24,∞)

B [12√3−7√2,∞)

C [12√3+7√2,∞)

D [4√6/7,∞)

 Apr 25, 2020
 #1
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1)  tan(theta)  =  y/x     --->     theta  =  tan-1( -5sqrt(3) / 5)  =  2pi/3

      r  =  sqrt( (5)2 + (-5sqrt(3))2 )  =  10

 Apr 25, 2020

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