Answer
$\tan\theta=-0.56616682$
Work Step by Step
1. We will use the identity $\sin^{2}\theta+\cos^{2}\theta=1$.
2. Substitute the value of sine theta into expression:
$(0.49268329)^{2}+cos^{2}\theta=1$
$\cos^{2}\theta=0.75726318$
$\cos\theta=-0.870208$ (we need to remember that cosine is negative in QII)
3. Insert values to find the tangent
$\tan\theta=\frac{0.49268629}{-0.87020870}=-0.56616682$
