Question

hey,

how do you express
sin(wt) into
1/j2 * (e^(jwt) - e^(-jwt))

its normally given to you in a maths booklet but i don't know how to get to it

thank you x

Answer 1

e^(jwt)=cos wt+ j sin wt
e^(-jwt)=coswt - j sin wt
e^(jwt)-e^(-jwt)=2j sin wt
sin wt= (e^(jwt)-e^(-jwt))/2j

Answer 2

thank you for the help x