Exercise 4.2.1 solution

\(AB=\sqrt{(AC)^2+(BC)^2}=\sqrt{13}\)

\(A\) \(B\)
\(\sin\) \(\dfrac{2\sqrt{13}}{13}\) \(\dfrac{3\sqrt{13}}{13}\)
\(\cos\) \(\dfrac{3\sqrt{13}}{13}\) \(\dfrac{2\sqrt{13}}{13}\)
\(\tan\) \(\dfrac{2}{3}\) \(\dfrac{3}{2}\)
\(\cot\) \(\dfrac{3}{2}\) \(\dfrac{2}{3}\)
\(\sec\) \(\dfrac{\sqrt{13}}{3}\) \(\dfrac{\sqrt{13}}{2}\)
\(\csc\) \(\dfrac{\sqrt{13}}{2}\) \(\dfrac{\sqrt{13}}{2}\)
\(\sin A = \cos B,\quad\tan A = \cot B,\quad\sec A = \csc B\)