Trigonometric Functions

$\frac{121\pi}{540}$

$\frac{121\pi}{180}$

$\frac{\pi}{180}$

$\frac{40\pi}{3}$

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

$\frac{3\pi}{5}$

$\frac{5\pi}{3}$

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

$39^{\circ} 22' 30''$

$39^{\circ} 20' 00''$

$40^{\circ} 12' 00''$

$38^{\circ} 30' 30''$

$12^{\circ} 30'$

$12^{\circ} 36'$

$13^{\circ} 20'$

$14^{\circ} 10'$

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

\frac{\sqrt{3}}{2}

-\frac{1}{2}

\frac{1}{2}

-\sqrt{3}

\frac{1}{\sqrt{3}}

\sqrt{3}

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

\frac{1}{2}

\frac{1}{\sqrt{2}}

\frac{\sqrt{3}}{2}

1

\frac{1}{\sqrt{3}}

-\sqrt{3}

\sqrt{3}

-1

\frac{\sqrt{6} - \sqrt{2}}{4}

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

\frac{\sqrt{6} + \sqrt{2}}{4}

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

\frac{\sqrt{6} + \sqrt{2}}{4}

\frac{\sqrt{6} - \sqrt{2}}{4}

\frac{\sqrt{3} - 1}{4}

\frac{1}{2\sqrt{2}}

\tan x

\tan 4x

\cot 4x

\tan 8x

x = n\pi, n \in \mathbb{Z}

x = (2n + 1)\frac{\pi}{2}, n \in \mathbb{Z}

x = 2n\pi, n \in \mathbb{Z}

x = n\pi + \frac{\pi}{2}, n \in \mathbb{Z}

x = n\pi + (-1)^n y

x = 2n\pi \pm y, n \in \mathbb{Z}

x = n\pi \pm y, n \in \mathbb{Z}

x = n\pi + y, n \in \mathbb{Z}

x = n\pi + \frac{\pi}{6}

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

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

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

\frac{2 \tan x}{1 + \tan^2 x}

\frac{1 - \tan^2 x}{1 + \tan^2 x}

\frac{2 \tan x}{1 - \tan^2 x}

\frac{1 + \tan^2 x}{1 - \tan^2 x}

\sin\left(\frac{A}{2}\right)

\cos\left(\frac{A}{2}\right)

\tan\left(\frac{A}{2}\right)

\cos A

\frac{4}{5}

-\frac{4}{5}

\frac{3}{4}

-\frac{3}{4}

1

\frac{3}{2}

\frac{1}{2}

2

\sin x

\tan x

\cos x

\cot x

$-\frac{5\pi}{36}$

$\frac{5\pi}{36}$

$\frac{\pi}{18}$

$\frac{5\pi}{18}$

$39^{\circ} 22' 30''$

$39^{\circ} 30' 22''$

$40^{\circ} 15' 10''$

$38^{\circ} 20' 00''$

$35.7$ cm

$37.4$ cm

$22.0$ cm

$42.0$ cm

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

$\frac{1}{2}$

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

$-\frac{1}{2}$

$1$

$-1$

$0$

$\frac{1}{2}$

$2 + \sqrt{3}$

$2 - \sqrt{3}$

$\sqrt{3} - 2$

$-\sqrt{3}$

$4\cos^4 x - 4\cos^2 x + 1$

$8\cos^4 x - 8\cos^2 x + 1$

$2\cos^4 x - \cos^2 x + 1$

$1 - 8\sin^2 x \cos^2 x$

$\tan 4x$

$\cot 4x$

$\tan x$

$\tan 8x$

$\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}$

$a = b \cos C + c \cos B$

$\cos A = \frac{b^2 + c^2 - a^2}{2bc}$

$\tan\left(\frac{A-B}{2}\right) = \frac{a-b}{a+b}\cot\frac{C}{2}$

$\frac{1}{2}$

$\frac{1}{4}$

$\frac{1}{8}$

$1$

$\frac{\pi}{6}$

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

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

$\frac{7\pi}{6}$

$\frac{1}{\sqrt{10}}$

$-\frac{1}{\sqrt{10}}$

$\frac{3}{\sqrt{10}}$

$-\frac{3}{\sqrt{10}}$

$1$

$\frac{3}{2}$

$2$

$\frac{5}{4}$

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

$\frac{5\pi}{4}$

$\frac{7\pi}{4}$

$\frac{\pi}{4}$

$3$

$4$

$5$

$7$

$\sec^2 \theta + \tan^2 \theta = 1$

$\sec^2 \theta - \tan^2 \theta = 1$

$\tan^2 \theta - \sec^2 \theta = 1$

$\csc^2 \theta - \cot^2 \theta = -1$