How do you convert the polar coordinate ( 8.2620 , 0.6653 ) into cartesian coordinates?

1 Answer
Sep 13, 2015

Answer:

#(6.5;5.1)#

Explanation:

To convert polar co-ordinates #(r;theta)#, also written as #r/_ theta # , into rectangular co-ordinates #(x;y)#, also written as # x + iy # , make use of the following formula, which is as a result of standard trigonometry in the associated right-angled triangle that may be drawn in the Argand diagram we plotting the associated complex number. Remember that #theta# is in radianshere.

#x=rcostheta#
#y=rsintheta#

So in this case,
#x=8,2620cos0,6653=6,5#
#y=8,2620sin0,6653=5,1#

Alternatively, most scientific calculators can convert directly between rectangular and polar forms by just punching it in.