Question

tan(arccos2/3)

Answer 1

\(\bf {\color{brown}{ cos^{-1}\left(\frac{2}{3}\right)}}= \theta\implies tan\left[{\color{brown}{ cos^{-1}\left(\frac{2}{3}\right)}}\right]\iff tan(\theta)
\\ \quad \\
cos^{-1}\left(\frac{2}{3}\right)=\theta\implies cos(\theta)=\cfrac{2}{3}\to \cfrac{adjacent\ side}{hypotenuse}\to \cfrac{a=2}{c=3}\)