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arcsin-sin-10-




Question Number 146589 by mathdanisur last updated on 14/Jul/21
arcsin (sin 10) = ?
$${arcsin}\:\left({sin}\:\mathrm{10}\right)\:=\:? \\ $$
Answered by SLVR last updated on 14/Jul/21
it is 3π−10. Since 10^c ≅3π+α where  αε(−π/2 to π/2)  So arcsin(sin10)=3π−10
$${it}\:{is}\:\mathrm{3}\pi−\mathrm{10}.\:{Since}\:\mathrm{10}^{{c}} \cong\mathrm{3}\pi+\alpha\:{where} \\ $$$$\alpha\epsilon\left(−\pi/\mathrm{2}\:{to}\:\pi/\mathrm{2}\right) \\ $$$${So}\:{arcsin}\left({sin}\mathrm{10}\right)=\mathrm{3}\pi−\mathrm{10} \\ $$

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