Question

find an equivalent algebraic expression for each:
tan(arcsin(x))

Answer 1

\(\bf tan(sin^{-1}(x)) \implies \cfrac{sin(sin^{-1}(x))}{cos(sin^{-1}(x))} \implies \cfrac{x}{cos(sin^{-1}(x))}\)

Answer 2

well the answer says that it is plus or minus (x)/(sqrt:1-x^2)

Answer 3

\[\tan\left(\sin^{-1}x\right)\]
Let \(\theta=\sin^{-1}x\), so that \(\sin\theta=x\):