Given the electric field of a complete amplitude modulated wave as \[ \vec{E}=\hat{i} E_{c}\left...

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Given the electric field of a complete amplitude modulated wave as
\[
\vec{E}=\hat{i} E_{c}\left(1+\frac{E_{m}}{E_{c}} \cos \omega_{m} t\right) \cos \omega_{c} t .
\]
Where the subscript \( c \) stands for the carrier wave and \( m \) for the modulating signal. The frequencies present in the modulated wave are
(a) \( \omega_{c} \) and \( \sqrt{\omega_{c}^{2}+\omega_{m}^{2}} \)
(b) \( \omega_{c}, \omega_{c}+\omega_{m} \) and \( \omega_{c}-\omega_{m} \)
(c) \( \omega_{c} \) and \( \omega_{m} \)
(d) \( \omega_{c} \) and \( \sqrt{\omega_{c} \omega_{m}} \)
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