How do you convert the rectangular coordinate #(1,-sqrt3)# into polar coordinates?

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Answer 1 · 2018-03-08T02:29:18

#rec(1,-sqrt3)=# #pol(2,-pi/3)# in radians or #pol(2,-60^@)# in degrees

Polar in in the form #(r,theta)#

#r=sqrt(x^2+y^2)#

and

#theta=tan^-1(y/x)#

#:.##(r, theta)=##(sqrt(1^2+(-sqrt(3))),tan^-1((-sqrt(3))/1))#

#=(sqrt(4),-pi/3)#

#=(2,-pi/3)#

Convert radians to degrees by #180/pi#

#=(2,-cancel(pi)/3*180/cancel(pi))#

#=(2,-180/3)#

#=(2,-60^@)#

#=(2,300^@)#