Trigonometric functions of quadrant angles

Jump to: navigation, search

Name

Functions of 0º
Graphic function function function
$\sin 0^\circ=\frac{0}{a}=0\,$ $\cos 0^\circ=\frac{a}{a}=1\,$ $\tan 0^\circ=\frac{0}{a}=0\,$
$\cot 0^\circ=\frac{a}{0}=\infty\,$ $\sec 0^\circ=\frac{a}{a}=1\,$ $\csc 0^\circ=\frac{a}{0}=\infty\,$

Functions of 90º
Graphic function function function
$\sin 90^\circ=\frac{a}{a}=1\,$ $\cos 90^\circ=\frac{0}{a}=0\,$ $\tan 90^\circ=\frac{a}{0}=\infty\,$
$\cot 90^\circ=\frac{0}{a}=0\,$ $\sec 90^\circ=\frac{a}{0}=\infty\,$ $\csc 90^\circ=\frac{a}{a}=1\,$

Functions of 180º
Graphic function function function
$\sin 180^\circ=\frac{0}{a}=0\,$ $\cos 180^\circ=\frac{-a}{a}=-1\,$ $\tan 180^\circ=\frac{0}{-a}=0\,$
$\cot 180^\circ=\frac{-a}{0}=\infty\,$ $\sec 180^\circ=\frac{a}{-a}=-1\,$ $\csc 180^\circ=\frac{a}{0}=\infty\,$

Functions of 270º
Graphic function function function
$\sin 270^\circ=\frac{-a}{a}=-1\,$ $\cos 270^\circ=\frac{0}{a}=0\,$ $\tan 270^\circ=\frac{-a}{0}=\infty\,$
$\cot 270^\circ=\frac{0}{-a}=0\,$ $\sec 270^\circ=\frac{a}{0}=\infty\,$ $\csc 270^\circ=\frac{a}{-a}=-1\,$

Functions of 360º
Graphic function function function
$\sin 360^\circ=\frac{0}{a}=0\,$ $\cos 360^\circ=\frac{a}{a}=1\,$ $\tan 360^\circ=\frac{0}{a}=0\,$
$\cot 360^\circ=\frac{a}{0}=\infty\,$ $\sec 360^\circ=\frac{a}{a}=1\,$ $\csc 360^\circ=\frac{a}{0}=\infty\,$

Trigonometric functions of quadrant angles
Angle
(grades)
Angle
(radians)
sin cos tan cot sec csc
$0^\circ\,$ $0\,$ $0\,$ $1\,$ $0\,$ $\infty\,$ $1\,$ $\infty\,$
$90^\circ\,$ $\frac{\pi}{2}\,$ $1\,$ $0\,$ $\infty\,$ $0\,$ $\infty\,$ $1\,$
$180^\circ\,$ $\pi\,$ $0\,$ $-1\,$ $0\,$ $\infty\,$ $-1\,$ $\infty\,$
$270^\circ\,$ $\frac{3\pi}{2}\,$ $-1\,$ $0\,$ $\infty\,$ $0\,$ $\infty\,$ $-1\,$
$360^\circ\,$ $2\pi\,$ $0\,$ $1\,$ $0\,$ $\infty\,$ $1\,$ $\infty\,$

Usage

• Write here usage for the table

See Also

• List here internal links

Web Resources

 Write here links for external references