Prove damped oscillation equation equivalence

[Suitengu]

Homework Statement

Prove that the equation x(t)=e^-ζω_nt(a₁e^jω_dt+a₂e^-jω_dt) is the same as x(t) = Ae^-ζω_ntsin(ω_dt+φ)

Homework Equations

Refer to the first question's answer.

The Attempt at a Solution

Have no idea how to start this problem. That is probably because I am low on funds and can't afford the txt. Please see if you can help and thanks in advance

 

[Päällikkö]

Use Euler: exp(jx) = cos(x) + jsin(x).