Question
The complex numbers sinx+icos2x and cosx-isin2x are conjugate to each other for
Answer: Option D
:
D
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D
sinx+icos2x and cosx-isin2xare conjugate to each other if sinx=cosx and cos2x=sin2x
Or tan x = 1 ⇒ x = π4,5π4,9π4, .......... ...............(i)
And tan 2x = 1 ⇒ 2x = π4,5π4,9π4, ..........
or x = π8,5π8,9π8, .......... ...............(ii)
There exists no value of x common in (i) and (ii). Therefore there is no value of x for which the given complex numbers are conjugate.
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