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Question

y=log(cos60+isin60), then (coshy) is

A
12
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B
14
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C
18
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D
32
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Solution

The correct option is B 12
y=log(cos600+isin600)
=log(ei60)
=60i Or, π3i
coshy=coshπ3i=eπ3i+eπ3i2
=cosπ3+isinπ3+cos(π3)+i(sin(π3))2
=12+122=12

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