Question Find $\sin(\alpha/2), \cos(\alpha/2), \tan(\alpha/2)$ given $\tan\alpha=21/20$ and $0^{\circ}<\alpha<90^{\circ}$.

Studdy Solution
Reduce the fraction to its simplest form:
$$\tan \frac{\alpha}{2} = \frac{9}{21} = \frac{3}{7}$$
The exact values are: a. $\sin \frac{\alpha}{2} = \frac{3\sqrt{58}}{58}$ b. $\cos \frac{\alpha}{2} = \frac{7\sqrt{58}}{58}$ c. $\tan \frac{\alpha}{2} = \frac{3}{7}$