Trigonometry/Graphs

The graphs of trigonometric functions are periodic, that is, their graphs repeat in cycles, like the sine function.

$\theta :$

$0$

${\frac {\pi }{6}}$

${\frac {\pi }{4}}$

${\frac {\pi }{3}}$

${\frac {\pi }{2}}$

${\frac {2\pi }{3}}$

${\frac {3\pi }{4}}$

${\frac {5\pi }{6}}$

$\pi$

${\frac {3\pi }{2}}$

$2\pi$

${\frac {13\pi }{6}}$

${\frac {11\pi }{4}}$

${\frac {9\pi }{3}}$

${\frac {8\pi }{2}}$

$3\pi$

${\frac {7\pi }{2}}$

$4\pi$

X:

$0$

${\frac {\sqrt {3}}{2}}$

${\frac {\sqrt {2}}{2}}$

${\frac {1}{2}}$

$0$

$-{\frac {1}{2}}$

$-{\frac {\sqrt {2}}{2}}$

$-{\frac {\sqrt {3}}{2}}$

$0$

$-1$

$0$

${\frac {1}{2}}$

${\frac {\sqrt {2}}{2}}$

${\frac {\sqrt {3}}{2}}$

$1$

$0$

$-1$

$0$

Y:

$0$

${\frac {1}{2}}$

${\frac {\sqrt {2}}{2}}$

${\frac {\sqrt {3}}{2}}$

$1$

${\frac {\sqrt {3}}{2}}$

${\frac {\sqrt {2}}{2}}$

${\frac {1}{2}}$

$0$

$-1$

$0$

${\frac {1}{2}}$

${\frac {\sqrt {2}}{2}}$

${\frac {\sqrt {3}}{2}}$

$1$

$0$

$-1$

$0$

Many trigonometric functions have graphs that are symmetric with respect to one of the axes or to the origin.

Videos:
Graphing the Sine Function
Graphing Trig Functions

Quiz:
Topic:Trigonometry_Lesson 4:Graphs of Trigonometric Functions_quiz