The function has no maximum or minimum if

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

Problem

The function sin⁡(x+a)sin⁡(x+b)\frac{\sin(x+a)}{\sin(x+b)} has no maximum or minimum if (1) b−a=nπ, n∈Zb-a=n\pi,\ n\in\mathbb{Z} (2) b−a=(2n+1)π, n∈Zb-a=(2n+1)\pi,\ n\in\mathbb{Z} (3) b−a=2nπ, n∈Zb-a=2n\pi,\ n\in\mathbb{Z} (4) None of these

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