I couldnt figure this one out...can anyone?
cos(arcsin3/5 + arccos sqrt3/2)
Thanks!
Start by letting $\displaystyle \sin^{-1} \frac{3}{5} = \alpha \Rightarrow \sin \alpha = \frac{3}{5}$ and $\displaystyle \cos^{-1} \frac{\sqrt{3}}{2} = \beta \Rightarrow \cos \beta = \frac{\sqrt{3}}{2}$.
Your task is to calculate $\displaystyle \cos (\alpha + \beta)$. Hint: Start by applying the compound angle formula and then make the necessary substitutions.