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simplfy-f-x-tan-arcsinx-and-g-x-tan-arcosx-is-real-x-1-1-




Question Number 142021 by mathmax by abdo last updated on 25/May/21
simplfy f(x)=tan(α arcsinx)  and g(x)=tan(α arcosx)  α is real  x∈[−1,1]
$$\mathrm{simplfy}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{tan}\left(\alpha\:\mathrm{arcsinx}\right) \\ $$$$\mathrm{and}\:\mathrm{g}\left(\mathrm{x}\right)=\mathrm{tan}\left(\alpha\:\mathrm{arcosx}\right)\:\:\alpha\:\mathrm{is}\:\mathrm{real} \\ $$$$\mathrm{x}\in\left[−\mathrm{1},\mathrm{1}\right] \\ $$

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