Question

I will fan and medal!!
What is tan(arcsin x/2)?
Please explain this to me using a right triangle :)

Answer 1

Do you need to simplify it because I don't think you'll get a numerical answer

Answer 2

Yes, simplification :) @anthonyym

Answer 3

\[\arcsin \frac{ x }{ 2 }=y,\frac{ x }{ 2 }=\sin y\]

Answer 4

\[\tan \left( arc \sin^{-1} \frac{ x }{ 2 } \right)=\tan y=\frac{ x }{ \sqrt{4-x^2} }\]