Question

How do you multiply `e^((23 pi )/ 12 ) * e^( pi/4 i )` in trigonometric form?

Answer 1

`a^b+a^c` is always `a^(b+c)`:

`e^((23π)/12)⋅e^(πi/4)`

`e^(((23π)/12+π/4i))`

`e^(((23π)/12+3π/12i))`

`e^((23π+3πi)/12)`