(10 points) Use Euler's formula,
e^(j\theta )=cos\theta jsin\theta
to verify that the following trigonometric identities are true. a)
sin(A B)=sinAcosB cosAsinB
(Hint: start with
e^(j(A B))=e^(jA)e^(jB)
) b)
cos2\theta =1-2sin^(2)\theta
(Hint: Following same steps as a, let
\theta =A=B
)