The complex numbers and

MATHEMATICS · Single correct · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

The complex numbers sin⁡x+icos⁡2x\sin x + i \cos 2x and cos⁡x−isin⁡2x\cos x - i \sin 2x , where i=−1i = \sqrt{-1} , are conjugate to each other, for (1) x=nπ,n∈Ix = n\pi, n \in \mathbb{I} (2) x=0x = 0 (3) x=(n+12)π,n∈Ix = \left(n + \frac{1}{2}\right)\pi, n \in \mathbb{I} (4) no value of xx

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