Question

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

Answer 1

arcsin(2/5)=x
then sin x=2/5
tan x = sinx/cosx
=sinx/(sqrt(1-sin^2x))
=(2/5)/(sqrt(1-4/5))
or tan(arcsin(2/5)) =(2/5)/(sqrt(21)/5)=2/sqrt(21)

Answer 2

Thank You! :D