Trigonometric functions of quadrant angles

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Name

Functions of 0º
Graphic function function function
TR01.png [math]\sin 0^\circ=\frac{0}{a}=0\,[/math] [math]\cos 0^\circ=\frac{a}{a}=1\,[/math] [math]\tan 0^\circ=\frac{0}{a}=0\,[/math]
[math]\cot 0^\circ=\frac{a}{0}=\infty\,[/math] [math]\sec 0^\circ=\frac{a}{a}=1\,[/math] [math]\csc 0^\circ=\frac{a}{0}=\infty\,[/math]



Functions of 90º
Graphic function function function
TR02.png [math]\sin 90^\circ=\frac{a}{a}=1\,[/math] [math]\cos 90^\circ=\frac{0}{a}=0\,[/math] [math]\tan 90^\circ=\frac{a}{0}=\infty\,[/math]
[math]\cot 90^\circ=\frac{0}{a}=0\,[/math] [math]\sec 90^\circ=\frac{a}{0}=\infty\,[/math] [math]\csc 90^\circ=\frac{a}{a}=1\,[/math]



Functions of 180º
Graphic function function function
TR03.png [math]\sin 180^\circ=\frac{0}{a}=0\,[/math] [math]\cos 180^\circ=\frac{-a}{a}=-1\,[/math] [math]\tan 180^\circ=\frac{0}{-a}=0\,[/math]
[math]\cot 180^\circ=\frac{-a}{0}=\infty\,[/math] [math]\sec 180^\circ=\frac{a}{-a}=-1\,[/math] [math]\csc 180^\circ=\frac{a}{0}=\infty\,[/math]



Functions of 270º
Graphic function function function
TR05.png [math]\sin 270^\circ=\frac{-a}{a}=-1\,[/math] [math]\cos 270^\circ=\frac{0}{a}=0\,[/math] [math]\tan 270^\circ=\frac{-a}{0}=\infty\,[/math]
[math]\cot 270^\circ=\frac{0}{-a}=0\,[/math] [math]\sec 270^\circ=\frac{a}{0}=\infty\,[/math] [math]\csc 270^\circ=\frac{a}{-a}=-1\,[/math]



Functions of 360º
Graphic function function function
TR01.png [math]\sin 360^\circ=\frac{0}{a}=0\,[/math] [math]\cos 360^\circ=\frac{a}{a}=1\,[/math] [math]\tan 360^\circ=\frac{0}{a}=0\,[/math]
[math]\cot 360^\circ=\frac{a}{0}=\infty\,[/math] [math]\sec 360^\circ=\frac{a}{a}=1\,[/math] [math]\csc 360^\circ=\frac{a}{0}=\infty\,[/math]




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

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