Sin x = \(\frac{opp}{hyp}\) sinx = \(\frac{3}{5}\) using Pythagoras' theorem hyp\(^2\) = opp\(^2\) + adj\(^2\) adj\(^2\) = 5\(^2\) - 3\(^2\) = 25 - 9 adj\(^2\) = 16 adj = \sqrt 16 adj = 4. tanx = \(\frac{opp}{adj}\) = \(\frac{3}{4}\) cosx = \(\frac{adj}{hyp}\) = \(\frac{4}{5}\) (tanx + 2cosx) = \(\frac{3}{4}\) + 2(\(\frac{4}{5}\)) = \(\frac{15 + 32}{20}\) = \(\frac{47}{20}\) or 2 \(\frac{7}{20}\)