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Question Number 33316 by rahul 19 last updated on 14/Apr/18

$$If\frac{f(2x+2y)}{f(2x-2y)}=\frac{\sin (x+y)}{\sin (x-y)}.$$$$Thenfindf\left(x\right)?$$

Answered by MJS last updated on 14/Apr/18

$$2x\pm 2y=2(x\pm y)=2p$$$$f\left(2p\right)=\sin p=\sin (x\pm y)$$$$f\left(p\right)=\sin \frac{p}{2}$$$$f\left(x\right)=\sin \frac{x}{2}$$

Commented by rahul 19 last updated on 14/Apr/18

$$thanks!$$

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