How do you convert $(0, pi/6)$ to rectangular form?

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Answer 1 · 2018-03-30T09:45:25

$color(blue)(0,0$

$(r,theta)$ and for Cartesian we have $(x,y)$

We know using trigonometry that:

$x=rcos(theta)$

$y=rsin(theta)$

$:.$

$(0,pi/6)$

$r=0$

$theta=pi/6$

Using these values:

$x=0*cos(pi/6)=>x=0$

$y=0*sin(pi/6)=>y=0$

So coordinates are:

$color(blue)((0,0)$

This could have been solved by just noting that the radius is zero, and this can only mean we are at the origin.

How do you convert (0, pi/6) (0, pi/6) to rectangular form?