Answer
$\tan\theta$ = 2
Work Step by Step
Ratio identity for $\tan\theta$ is-
$\tan\theta$ = $\frac{\sin\theta}{\cos\theta}$
Substituting given values of $\sin\theta$ and $\cos\theta$-
$\tan\theta$ = $\frac{\frac{2\sqrt 5}{5}}{\frac{\sqrt 5}{5}}$
= $\frac{2\sqrt 5 \times 5}{5\sqrt 5}$ = 2
or $\tan\theta$ = 2
