Write complex numbers in polar 'trigonometric' form (and vice versa)

What you'll need:

a+jb=r∠θ=r(cos⁡θ+j∙sin⁡θ)
(Rectangular) (Polar) (Trigonometric Form)

Q1. Write (2+j3) in trigonometric form and polar form.

Recall:

r=√(a^2+b^2 )
θ=tan^(−1)⁡〖b⁄a〗

Q2. Write 6(cos⁡〖30°〗+j∙sin⁡〖30°〗) in polar and rectangular forms.

Recall:

a=r∙cos⁡θ
b=r∙sin⁡θ