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(Solved): (10 points) Use Euler's formula, e^(j\theta )=cos\theta jsin\theta to verify that the following t ...



(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

)



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