Write complex number in trig form?

Question

some steps to follow for a complex number in the form y= a+bi would be fine

Answer 1

If y = a + bi, (cartesian form) then

y = r (cos φ + i sin φ) (trig form),

where

r = √(a²+b²) (just like the pythagorean theorem)

and

φ = arctan(b/a) (φ ranges from -π to π radians).