How do you convert the rectangular coordinate $(0,-5)$ into polar coordinates?

Question

4257 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-06T04:06:11

$(r,theta) => (5,pi/2)$

$(x,y) => (0,-5)$

$r^2=x^2+y^2$

Make appropriate substitutions

$r^2=(0)^2+(-5)^2$

$r^2=0+25=25$

$r=sqrt(r^2)=sqrt25=5$

$tan(theta)=y/x=-5/0=undef i n ed$

tangent is undefined at $pi/2$ radians so $theta=pi/2$

Make the necessary substitutions

$(r,theta) => (5,pi/2)$

How do you convert the rectangular coordinate (0,-5)(0,-5) into polar coordinates?