Question

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

Answer 1

\[\arcsin(\frac{2}{5})=\theta\]
is the same as
\[\sin \theta=\frac{2}{5}\]

so we draw a triangle
sin is opposite over hypothenuse


solve for the missing side, then find

\[\tan \theta\]

Answer 2

soo 2/sqrt(21) is the answer?

Answer 3

looks like it

Answer 4

alright thanks