(Solved):
If \( \alpha \) and \( \beta \) are acute angles such that \( \cos \alpha=\frac{4}{5} \) and \( \t ...
If \( \alpha \) and \( \beta \) are acute angles such that \( \cos \alpha=\frac{4}{5} \) and \( \tan \beta=\frac{8}{15} \), find the following. (a) \( \sin (\alpha+\beta) \) (b) \( \cos (\alpha+\beta) \) (c) the quadrant containing \( \alpha+\beta \) Quadrant I Quadrant II Quadrant III Quadrant IV