Answer
(a) $\pi $
(b) $\dfrac{\sqrt{3}}{3} $
Work Step by Step
Given
(a) $\ln e^{\pi}$
Since $\ln x^a=a\ln x$, then $\ln e^{\pi}=\pi \ln e=\pi$
(b)$\tan(\arcsin 1 /2)$
Since $\arcsin (1 /2)=\frac{\pi }{6}$, then $\tan(\pi/6) =\frac{\sqrt{3}}{3}$
