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Question

What is the value of sin(logeii) ?


A

0

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B

1

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C

-1

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D

2

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Solution

The correct option is C

-1


sin(logeii)

= sin(ilogei)

Express complex number in Euler's form

= sin[ilogeeiπ2]

= sin (i.iπ2)

= sin (π2)

=-1


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