Question

Find the exact value of tan (arcsin (2/5)).

Answer 1

OOoo fun problem :) I always enjoy these XD
So let's think about it piece by piece hmmm

Answer 2

\[\sin^{-1} (2/5)= \theta\]
Is the same thing as writing\[\sin (\theta) = 2/5\]
since sine and arcsine are inverse functions. does that part make sense? :D

Answer 3

I never really understood the ponto of θ lol

Answer 4

Next thing we want to try to do, is to visualize what arcsin(2/5) looks like.
So we draw a triangle!