Convert the point (2,pi/3) from polar coordinates to Cartesian coordinates

UkusakazaL

UkusakazaL

Answered question

2021-09-07

Convert the point (2,π3) from polar coordinates to Cartesian coordinates

Answer & Explanation

Jaylen Fountain

Jaylen Fountain

Skilled2021-09-08Added 169 answers

r2=x2+y2
x2+y2=4
tan(π3)=yx
y=3x
Hence, substituting in the equation we get
x2+3x2=4
x=1,1
Hence there are two points possible for this equation but the angle must be π3,. hence the only correct answer is (1,3)

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