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13-10-2016
Mathematics

contestada

Find the exact value of tan (arcsin (2/5)). For full credit, explain your reasoning.

Respuesta :

antonsandiego antonsandiego

18-10-2016

Since arcsin(2/5)=x, sin x=2/5

Here we go[tex]=sinx/(sqrt(1-sin^2x)) =(2/5)/(sqrt(1-4/5))[/tex]
[tex]tan x = sinx/cosx[/tex]
More than one way possible :
[tex]tan(arcsin(2/5)) =(2/5)/ (sqrt(21)/5)=2/sqrt(21)[/tex]

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