Question

How do you convert the cartesian coordinate ( 8.1939 , -0.4145 ) into polar coordinates?

Answer 1

r= 8.024 (round figure)
`theta`= -2.896 degrees

Explanation:

Put `rcos theta`= 8.1939 and `rsin theta`= -0.4145

`r^2 =(8.1939)^2 +(-0.4145)^2`

on simplification r= 8.024 (round figure)

`theta = tan^-1 (-0.4145/8.1939)`

On simplification `theta`= -2.896 degrees