Complex NumbersHard

Question

sin-1 , where z is nonreal, can be the angle of a triangle if

Options

A.Re(z) = 1, Im(z) = 2
B.Re(z) = 1, 0 < Im (z) ≤ 1
C.Re(z) + Im(z) = 0
D.none of these

Solution

sin-1 should exists and must be positive
x = 1    0 < y ≤ 1

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