Trigonometric Functions

$\frac{\pi}{3}$

$\frac{2\pi}{3}$

$\frac{3\pi}{4}$

$\frac{5\pi}{6}$

$\frac{\pi}{6}$

$\frac{\pi}{4}$

$\frac{\pi}{3}$

$\frac{\pi}{2}$

$2\pi$

$\frac{\pi}{2}$

$\pi$

$\frac{3\pi}{2}$

$\sin x$

$\cos x$

$\tan x$

$\csc x$

$150^\circ$

$120^\circ$

$135^\circ$

$160^\circ$

$0$

$1$

$-1$

$\frac{1}{2}$

$(1, \infty)$

$[1, \infty)$

$[0, \infty)$

$(-\infty, \infty)$

$\tan x$

$\cot x$

$\csc x$

$\cos x$

$\{1\}$

$\{x \in \mathbb{R}\}$

$[0, \infty)$

$[-1, 1]$

$\frac{1}{2}\cos x + \frac{\sqrt{3}}{2}\sin x$

$\frac{1}{2}\cos x - \frac{\sqrt{3}}{2}\sin x$

$\frac{\sqrt{3}}{2}\cos x + \frac{1}{2}\sin x$

$\frac{\sqrt{3}}{2}\cos x - \frac{1}{2}\sin x$

$\sin x$

$\cos x$

$\sqrt{3}\sin x$

$\sqrt{3}\cos x$

$\frac{\sqrt{3}+1}{2\sqrt{2}}$

$\frac{1-\sqrt{3}}{2\sqrt{2}}$

$\frac{\sqrt{3}-1}{2\sqrt{2}}$

$-\frac{\sqrt{3}-1}{2\sqrt{2}}$

$x = n\pi$

$x = 3n\pi$

$x = \frac{n\pi}{3}$

$x = (2n+1)\frac{3\pi}{2}$

$x = n\pi + (-1)^n \frac{5\pi}{4}$

$x = 2n\pi \pm \frac{3\pi}{4}$

$x = n\pi + (-1)^n \frac{3\pi}{4}$

$x = n\pi - \frac{\pi}{4}$

$x = 2n\pi \pm \frac{\pi}{6}$

$x = 2n\pi \pm \frac{5\pi}{6}$

$x = n\pi + (-1)^n \frac{5\pi}{6}$

$x = 2n\pi \pm \frac{7\pi}{6}$