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sin-p-x-1-




Question Number 96026 by ubaydulla last updated on 29/May/20
sin (p/x)=1
$$\mathrm{sin}\:\frac{\mathrm{p}}{\mathrm{x}}=\mathrm{1} \\ $$
Commented by bobhans last updated on 29/May/20
sin ((p/x)) = sin ((π/2))  (p/x) = (π/2) + 2kπ ⇒ (x/p) = (2/(π+4kπ))   x = ((2p)/(π+4kπ))
$$\mathrm{sin}\:\left(\frac{\mathrm{p}}{\mathrm{x}}\right)\:=\:\mathrm{sin}\:\left(\frac{\pi}{\mathrm{2}}\right) \\ $$$$\frac{\mathrm{p}}{\mathrm{x}}\:=\:\frac{\pi}{\mathrm{2}}\:+\:\mathrm{2k}\pi\:\Rightarrow\:\frac{\mathrm{x}}{\mathrm{p}}\:=\:\frac{\mathrm{2}}{\pi+\mathrm{4k}\pi}\: \\ $$$$\mathrm{x}\:=\:\frac{\mathrm{2p}}{\pi+\mathrm{4k}\pi} \\ $$

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