Question

Write the expression tan(sin^-1)x) as an algebraic expression in x (without trig or inverse trig functions).

Answer 1

there is an angle whose sine is \(x\)
to find the tangent of that angle, you need the third side, which you find via pythagoras as
\[\sqrt{1-x^2}\]

Answer 2

then tangent is "opposite over adjacent"

Answer 3

tan(2arcsinx) is the equation sorry.