Answer
$$\tan\frac{x}{2}\approx0.1272$$
Work Step by Step
$$\cos x\approx0.9682\hspace{2cm}\sin x=0.25\hspace{2cm}\tan\frac{x}{2}=?$$
According to the half-angle identity for tangents:
$$\tan\frac{x}{2}=\frac{1-\cos x}{\sin x}$$
Apply the values of $\cos x$ and $\sin x$ to the formula.
$$\tan\frac{x}{2}\approx\frac{1-0.9682}{0.25}$$
$$\tan\frac{x}{2}\approx\frac{0.0318}{0.25}$$
$$\tan\frac{x}{2}\approx0.1272$$
