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Question

The real part of eeiθ is:

A
ecosθ[cos(sinθ)]
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B
ecosθ[cos(cosθ)]
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C
esinθ[sin(sinθ)]
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D
esinθ[cos(sinθ)]
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Solution

The correct option is A ecosθ[cos(sinθ)]
ee iθ=ecisθ=ecosθ+i sin θ

=ecos θ×ei(sin θ)

=ecosθ×(cos(sinθ)+isin(sinθ))

Hence, the real part is

ecosθ(cos(sinθ))

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