Table

Table 10: TABLE 10

Function	Domain	Properties
Sine	all real numbers	continuous on the interval $(-\infty ,\infty)$
Cosine	all real numbers	continuous on the interval $(-\infty ,\infty)$
Tangent	$\left\{ x\|x\neq\hbox{odd integer multiples of}\dfrac{\pi}{2}\right\}$	continuous at all real numbers except odd multiples of $\dfrac{\pi}{2}$ }
Cosecant	{ $x\|x\neq$ integer multiples of π}	continuous at all real numbers except multiples of $\pi$
Secant	$\left\{ x\|x\neq \hbox{ odd integer multiples of}\dfrac{\pi}{2}\right\}$	continuous at all real numbers except odd multiples of $\dfrac{\pi}{2}$
Cotangent	{ $x\|x \neq$ integer multiples of π}	continuous at all real numbers except multiples of $\pi$
Inverse sine	$-1\leq x\leq 1$	continuous on the closed interval $[ -1,1]$
Inverse cosine	$-1\leq x\leq 1$	continuous on the closed interval $[ -1,1]$
Inverse tangent	all real numbers	continuous on the interval $(-\infty ,\infty)$
Inverse cosecant	$\vert x\vert \geq 1$	continuous on the set $\left(-\infty ,-1\right]$ $\cup$ $[ 1,\infty)$
Inverse secant	$\vert x\vert \geq 1$	continuous on the set $\left(-\infty ,-1\right]$ $\cup$ $[ 1,\infty)$
Inverse cotangent	all real numbers	continuous on the interval $(-\infty ,\infty)$