Table for the 6 Trigonometric Functions for Special Angles

Table of values of the 6 trigonometric functions sin (x), cos (x), tan(x), cot (x), sec (x) and csc (x) for special angles.

NOTE: The letter U means undefined.

\(\theta\) \(0\) \(\dfrac{\pi}{6}\) \(\dfrac{\pi}{4}\) \(\dfrac{\pi}{3}\) \(\dfrac{\pi}{2}\)
\(0^\circ\) \(30^\circ\) \(45^\circ\) \(60^\circ\) \(90^\circ\)
\(\sin\theta\) \(0\) \(\dfrac{1}{2}\) \(\dfrac{\sqrt{2}}{2}\) \(\dfrac{\sqrt{3}}{2}\) \(1\)
\(\cos\theta\) \(1\) \(\dfrac{\sqrt{3}}{2}\) \(\dfrac{\sqrt{2}}{2}\) \(\dfrac{1}{2}\) \(0\)
\(\tan\theta\) \(0\) \(\dfrac{\sqrt{3}}{3}\) \(1\) \(\sqrt{3}\) \(\text{U}\)
\(\csc\theta\) \(\text{U}\) \(2\) \(\sqrt{2}\) \(\dfrac{2}{\sqrt{3}}\) \(1\)
\(\sec\theta\) \(1\) \(\dfrac{2}{\sqrt{3}}\) \(\sqrt{2}\) \(2\) \(\text{U}\)
\(\cot\theta\) \(\text{U}\) \(\sqrt{3}\) \(1\) \(\dfrac{\sqrt{3}}{3}\) \(0\)

More References and links

Trigonometry.