How do you convert #(6, 90^circ)# from polar to cartesian coordinates?

Question

1827 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-18T16:44:23

The rectangular coordinates are #(6,0)#

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

#x=rcostheta#

#y=rsintheta#

Here, #(r,theta)=(6,90º)#

#sin90º=1#

#cos90º=0#

Therefore,

#x=6sin90º=6#

#y=6cos90º=0#

So,

The rectangular coordinates are #(6,0)#