The complex numbers sin x + i cos 2x and cos x - i sin 2x are conjugate complexes for

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x = 0

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No value of x

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Solution

The correct option is D No value of x
Requirements are sin x = cos x and cos 2x = sin 2x Which together cannot possible

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s i n x + i c o s 2 x

c o s x - i s i n 2 x

The complex number sin x+i cos 2x and cos x - i sin 2x are conjugate to each other for :

sin x + i cos 2 x

cos x - i sin 2 x

x =

sin x + i cos 2 x

cos x - i sin 2 x

sin x + i cos 2 x, cos x - i sin 2 x

x =

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