Question

Write the expression as an algebraic expression in x for x>0: 4 tan(arccos x)

Answer 1

\[
\cos \left(\cos
^{-1}(x)\right)=x\\
\sin \left(\cos
^{-1}(x)\right)=\sqrt{1-x^2
}\\Hence\\
\tan \left(\cos
^{-1}(x)\right)=\frac{\sqrt
{1-x^2}}{x}\\
4\tan \left(\cos
^{-1}(x)\right)=\frac{4\sqrt
{1-x^2}}{x}\\

\]

Answer 2

Thank you so much!!

Answer 3

YW