Exercise 4.2.2 solution

\(\sin45^\circ=\text{ opp/hyp }=\dfrac{1}{\sqrt{2}}=\dfrac{\sqrt{2}}{2}\)

\(\csc45^\circ=\text{ hyp/opp }=\sqrt{2}\)

\(\cos45^\circ=\text{ adj/hyp }=\dfrac{1}{\sqrt{2}}=\dfrac{\sqrt{2}}{2}\)

\(\sec45^\circ=\text{ hyp/adj }=\sqrt{2}\)

\(\tan45^\circ=\text{ opp/adj }=1\)

\(\cot45^\circ=\text{ adj/opp }=1\)