Answer
$-0.75$
Work Step by Step
$\sin^{2}\theta+\cos^{2}\theta=1$
$\implies \cos^{2}\theta=1-\sin^{2}\theta$
$=1-(0.6)^{2}=0.64$
$\sec^{2}\theta=\frac{1}{\cos^{2}\theta}=\frac{1}{0.64}=1.5625$
$\tan^{2}\theta=\sec^{2}\theta-1=1.5625-1=0.5625$
$\tan\theta=\pm \sqrt {0.5625}=\pm 0.75$
$\tan\theta$ is negative in the second quadrant.
$\implies \tan\theta=-0.75$
