Question

How do you convert (1, -4) into polar coordinates?

Answer 1

see below

Explanation:

Use the formulas `x^2+y^2 = r^2` and `tan theta =y/x`

`r^2=(1)^2+(-4)^2=1+16=17`

`r=sqrt17~~4.123`

`tan theta = y/x=(-4)/1`

`theta=tan^-1 (-4)~~-1.326`

`:.(r,theta)~~(4.123,-1.326)`