Quadrantal Angles
The values of sin
\(\theta\), cos
\(\theta\), and tan
\(\theta\) for any point on the terminal arm of an angle
\(\theta\), where
\(\theta\) is
\(0^\circ\),
\(90^\circ\),
\(180^\circ\),
\(270^\circ\), and
\(360^\circ\), are summarized in the table.
|
\(\theta\)
|
sin \(\theta\)
|
cos \(\theta\)
|
tan \(\theta\)
|
|
\(0^\circ\) |
\(0\) |
\(1\) |
\(0\)
|
|
\(90^\circ\) |
\(1\) |
\(0\) |
undefined |
|
\(180^\circ\) |
\(0\) |
\(-1\) |
\(0\) |
|
\(270^\circ\) |
\(-1\) |
\(0\) |
undefined |
|
\(360^\circ\) |
\(0\) |
\(1\) |
\(0\) |
|
For further information about trigonometric ratios of any angle, see pp. 90 to 93 of Pre-Calculus 11.
|