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Question

If z=(3+i)17(1i)50, then amp(z) is equal to

A
2π3
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B
π3
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C
2π3
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D
None
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Solution

The correct option is A 2π3
amp(z)=tan1(sin46π3cos46π3)

=tan1(tan46π3)

=tan1tan(16π2π3)

=tan1(tan(2π3))

=2π3

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