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# Sines, cosines and tangeantes of common angles

## Introduction

This page lists the values sines, cosines and tangeantes of common (noteworthy) angles. The following illustration shows the common angles on the unit circle (only for cosines and sines):

## Table of sines, cosines and tangeantes

The following table shows the sines and cosines of common angles in radians and in degrees

0 0 1 0 0
$$\frac{ \pi }{6}$$ 30 $$\frac{\sqrt{3}}{2}$$ $$\frac{1}{2}$$ $$\frac{ \sqrt{3}}{3}$$
$$\frac{ \pi }{4}$$ 45 $$\frac{\sqrt{2}}{2}$$ $$\frac{\sqrt{2}}{2}$$ 1
$$\frac{ \pi }{3}$$ 60 $$\frac{1}{2}$$ $$\frac{\sqrt{3}}{2}$$ $$\sqrt{3}$$
$$\frac{ \pi }{2}$$ 90 0 1 -
$$\frac{ 2\pi }{3}$$ 120 $$-\frac{1}{2}$$ $$\frac{\sqrt{3}}{2}$$ $$-\sqrt{3}$$
$$\frac{ 3\pi }{4}$$ 135 $$-\frac{\sqrt{2}}{2}$$ $$\frac{\sqrt{2}}{2}$$ -1
$$\frac{ 5\pi }{6}$$ 150 $$-\frac{\sqrt{3}}{2}$$ $$\frac{1}{2}$$ $$-\frac{ \sqrt{3}}{3}$$
$$\pi$$ 180 -1 0 0
$$\frac{ 7\pi }{6}$$ 210 $$-\frac{\sqrt{3}}{2}$$ $$-\frac{1}{2}$$ $$\frac{ \sqrt{3}}{3}$$
$$\frac{ 5\pi }{4}$$ 225 $$-\frac{\sqrt{2}}{2}$$ $$-\frac{\sqrt{2}}{2}$$ 1
$$\frac{ 4\pi }{3}$$ 240 $$-\frac{1}{2}$$ $$-\frac{\sqrt{3}}{2}$$ $$\sqrt{3}$$
$$\frac{ 3\pi }{2}$$ 270 0 -1 -
$$\frac{ 5\pi }{3}$$ 300 $$\frac{1}{2}$$ $$-\frac{\sqrt{3}}{2}$$ $$-\sqrt{3}$$
$$\frac{ 7\pi }{4}$$ 315 $$\frac{\sqrt{2}}{2}$$ $$-\frac{\sqrt{2}}{2}$$ -1
$$\frac{ 11\pi }{6}$$ 330 $$\frac{\sqrt{3}}{2}$$ $$-\frac{1}{2}$$ $$-\frac{ \sqrt{3}}{3}$$
$$2\pi$$ 360 1 0 0