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Trigonometric functions of quadrant angles

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Name

Functions of 0º
Graphic function function function
Image:TR01.png \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
Image:TR02.png \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
Image:TR03.png \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
Image:TR05.png \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\,

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