Exercise 4.2.6 solution

Quadrant II Quadrant I
\(x < 0\) \(y > 0\) \(x > 0\) \(y > 0\)
\(\sin A > 0\) \(\csc A > 0\) \(\sin A > 0\) \(\csc A > 0\)
\(\cos A < 0\) \(\sec A < 0\) \(\cos A > 0\) \(\sec A > 0\)
\(\tan A < 0\) \(\cot A < 0\) \(\tan A > 0\) \(\cot A > 0\)
Quadrant III Quadrant IV
\(x < 0\) \(y < 0\) \(x > 0\) \(y < 0\)
\(\sin A < 0\) \(\csc A < 0\) \(\sin A < 0\) \(\csc A < 0\)
\(\cos A < 0\) \(\sec A < 0\) \(\cos A > 0\) \(\sec A > 0\)
\(\tan A > 0\) \(\cot A > 0\) \(\tan A < 0\) \(\cot A < 0\)