Trig Values: Unit Circle

Bill Andersen
Flashcards by Bill Andersen, updated more than 1 year ago
Bill Andersen
Created by Bill Andersen about 6 years ago
176
6

Description

Values for 6 trig functions at major unit circle angles in radians.

Resource summary

Question Answer
Trigonometric Values Trig Values
\[\sin 0\] \[0\]
\[\sin\frac{\pi}{6}\] \[\frac{1}{2}\]
\[\sin\frac{\pi}{4}\] \[\frac{\sqrt{2}}{2}\]
\[\sin\frac{\pi}{3}\] \[\frac{\sqrt{3}}{2}\]
\[\sin\frac{\pi}{2}\] \[1\]
\[\sin\frac{2\pi}{3}\] \[\frac{\sqrt{3}}{2}\]
\[\sin\frac{3\pi}{4}\] \[\frac{\sqrt{2}}{2}\]
\[\sin\frac{5\pi}{6}\] \[\frac{1}{2}\]
\[\sin\pi\] \[0\]
\[\sin\frac{7\pi}{6}\] \[-\frac{1}{2}\]
\[\sin\frac{5\pi}{4}\] \[-\frac{\sqrt{2}}{2}\]
\[\sin\frac{4\pi}{3}\] \[-\frac{\sqrt{3}}{2}\]
\[\sin\frac{3\pi}{2}\] \[-1\]
\[\sin\frac{5\pi}{3}\] \[-\frac{\sqrt{3}}{2}\]
\[\sin\frac{7\pi}{4}\] \[-\frac{\sqrt{2}}{2}\]
\[\sin\frac{11\pi}{6}\] \[-\frac{1}{2}\]
\[\sin 2\pi\] \[0\]
\[\cos 0\] \[1\]
\[\tan 0\] \[0\]
\[\sec 0\] \[1\]
\[\csc 0\] Undefined
\[\cot 0\] Undefined
\[\cos\frac{\pi}{6}\] \[\frac{\sqrt{3}}{2}\]
\[\tan\frac{\pi}{6}\] \[\frac{\sqrt{3}}{3}\]
\[\sec\frac{\pi}{6}\] \[\frac{2\sqrt{3}}{3}\]
\[\csc\frac{\pi}{6}\] \[2\]
\[\cot\frac{\pi}{6}\] \[\sqrt{3}\]
\[\cos\frac{\pi}{4}\] \[\frac{\sqrt{2}}{2}\]
\[\tan\frac{\pi}{4}\] \[1\]
\[\sec\frac{\pi}{4}\] \[\sqrt{2}\]
\[\csc\frac{\pi}{4}\] \[\sqrt{2}\]
\[\cot\frac{\pi}{4}\] \[1\]
\[\cos\frac{\pi}{3}\] \[\frac{1}{2}\]
\[\tan\frac{\pi}{3}\] \[\sqrt{3}\]
\[\sec\frac{\pi}{3}\] \[2\]
\[\csc\frac{\pi}{3}\] \[\frac{2\sqrt{3}}{3}\]
\[\cot\frac{\pi}{3}\] \[\frac{\sqrt{3}}{3}\]
\[\cos\frac{\pi}{2}\] \[0\]
\[\tan\frac{\pi}{2}\] Undefined
\[\sec\frac{\pi}{2}\] Undefined
\[\csc\frac{\pi}{2}\] \[1\]
\[\cot\frac{\pi}{2}\] \[0\]
\[\cos\frac{2\pi}{3}\] \[-\frac{1}{2}\]
\[\tan\frac{2\pi}{3}\] \[-\sqrt{3}\]
\[\sec\frac{2\pi}{3}\] \[-2\]
\[\csc\frac{2\pi}{3}\] \[\frac{2\sqrt{3}}{3}\]
\[\cot\frac{2\pi}{3}\] \[-\frac{\sqrt{3}}{3}\]
\[\cos\frac{3\pi}{4}\] \[-\frac{\sqrt{2}}{2}\]
\[\tan\frac{3\pi}{4}\] \[-1\]
\[\sec\frac{3\pi}{4}\] \[-\sqrt{2}\]
\[\csc\frac{3\pi}{4}\] \[\sqrt{2}\]
\[\cot\frac{3\pi}{4}\] \[-1\]
\[\cos\frac{5\pi}{6}\] \[-\frac{\sqrt{3}}{2}\]
\[\tan\frac{5\pi}{6}\] \[-\frac{\sqrt{3}}{3}\]
\[\sec\frac{5\pi}{6}\] \[-\frac{2\sqrt{3}}{3}\]
\[\csc\frac{5\pi}{6}\] \[2\]
\[\cot\frac{5\pi}{6}\] \[-\sqrt{3}\]
\[\cos \pi\] \[-1\]
\[\tan \pi\] \[0\]
\[\sec \pi\] \[-1\]
\[\csc 2\pi\] Undefined
\[\cot 2\pi\] Undefined
\[\cos\frac{7\pi}{6}\] \[-\frac{\sqrt{3}}{2}\]
\[\tan\frac{7\pi}{6}\] \[\frac{\sqrt{3}}{3}\]
\[\sec\frac{7\pi}{6}\] \[-\frac{2\sqrt{3}}{3}\]
\[\csc\frac{7\pi}{6}\] \[-2\]
\[\cot\frac{7\pi}{6}\] \[\sqrt{3}\]
\[\cos\frac{5\pi}{4}\] \[-\frac{\sqrt{2}}{2}\]
\[\tan\frac{5\pi}{4}\] \[1\]
\[\sec\frac{5\pi}{4}\] \[-\sqrt{2}\]
\[\csc\frac{5\pi}{4}\] \[-\sqrt{2}\]
\[\cot\frac{5\pi}{4}\] \[1\]
\[\cos\frac{4\pi}{3}\] \[-\frac{1}{2}\]
\[\tan\frac{4\pi}{3}\] \[\sqrt{3}\]
\[\sec\frac{4\pi}{3}\] \[-2\]
\[\csc\frac{4\pi}{3}\] \[-\frac{2\sqrt{3}}{3}\]
\[\cot\frac{4\pi}{3}\] \[\frac{\sqrt{3}}{3}\]
\[\cos\frac{3\pi}{2}\] \[0\]
\[\tan\frac{3\pi}{2}\] Undefined
\[\sec\frac{3\pi}{2}\] Undefined
\[\csc\frac{3\pi}{2}\] \[-1\]
\[\cot\frac{3\pi}{2}\] \[0\]
\[\cos\frac{5\pi}{3}\] \[\frac{1}{2}\]
\[\tan\frac{5\pi}{3}\] \[-\sqrt{3}\]
\[\sec\frac{5\pi}{3}\] \[2\]
\[\csc\frac{5\pi}{3}\] \[-\frac{2\sqrt{3}}{3}\]
\[\cot\frac{5\pi}{3}\] \[-\frac{\sqrt{3}}{3}\]
\[\cos\frac{7\pi}{4}\] \[\frac{\sqrt{2}}{2}\]
\[\tan\frac{7\pi}{4}\] \[-1\]
\[\sec\frac{7\pi}{4}\] \[\sqrt{2}\]
\[\csc\frac{7\pi}{4}\] \[-\sqrt{2}\]
\[\cot\frac{7\pi}{4}\] \[-1\]
\[\cos\frac{11\pi}{6}\] \[\frac{\sqrt{3}}{2}\]
\[\tan\frac{11\pi}{6}\] \[-\frac{\sqrt{3}}{3}\]
\[\sec\frac{11\pi}{6}\] \[\frac{2\sqrt{3}}{3}\]
\[\csc\frac{11\pi}{6}\] \[-2\]
\[\cot\frac{11\pi}{6}\] \[-\sqrt{3}\]
The End The End
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