Question #13be9

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Answer 1 · 2017-01-06T07:41:22

The answer is #=(sqrt3/2,3/2)#

To convert from polar coordinates #(r,theta)# to rectangular coordinates #(x,y)#, we use the following equations

#x=rcostheta#

#y=rsin theta#

Here,

#(r,theta)=(sqrt3,-(5pi)/3)#

#cos(-(5pi)/3)=1/2#

#x=sqrt3*cos(-(5pi)/3)=sqrt3*1/2=sqrt3/2#

and

#sin(-(5pi)/3)=sqrt3/2#

#y=sqrt3*sin(-(5pi)/3)=sqrt3*sqrt3/2=3/2#

So, the rectangular coordinates are #=(sqrt3/2,3/2)#