If and ,…

MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

If x+y=4π3x + y = \frac{4\pi}{3} and sin⁡x=2sin⁡y\sin x = 2 \sin y , then (1) x=nπ+π2,n∈Ix = n\pi + \frac{\pi}{2}, n \in I (2) y=5π6−nπ,n∈Iy = \frac{5\pi}{6} - n\pi, n \in I (3) Both (a) and (b) (4) None of the above

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