Definitions and Graphs of Trigonometric Functions

Definitions and Graphs of Trigonometric Functions

$sin\alpha =\frac { y }{ r }$

$cos\alpha =\frac { x }{ r }$

$tan\alpha =\frac { y }{ x }$

$cot\alpha =\frac { x }{ y }$

$sec\alpha =\frac { r }{ x }$

$cosec\alpha =\frac { r }{ y }$

Sine Function
y=sin x,  $-1\le sinx\le 1$.

Coine Function
y=cos x,  $-1\le cosx\le 1$.

Tangent  Function
y=tan x, $x\neq k\pi $,  $-\infty \le tanx\le \infty$.

Cotangent Function
y=cot x,  -1$\le $cot x$\ge $1, $-\infty \le cotx\le \infty$.

Secant Function
y=sec x,  $x\neq (2k+1)\frac { \pi  }{ 2 }$.

Cosecant  Function
y=cosec x,  $x\neq k\pi $.

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