Graphs of \(\sin x\), \(\cos x\) and \(\tan x\)

• It is conventional to measure angles in radians.
• Both the sine and cosine are periodic functions with \[\mbox{Period}=2 \pi\]
• Range of the sine and cosine functions are \[ -1\leq\sin(x)\leq 1\quad\mbox{and}\quad-1\leq\cos(x)\leq 1 \]

• The tangent function is a periodic function: Period \(=\pi\)
• The range of the tangent function is \(-\infty< \tan (x) < \infty\)
• The tangent function has vertical asymptotes when \[ x=\ldots,-\frac{3\pi}{2}, -\frac{\pi}{2}, \frac{\pi}{2}, \frac{3\pi}{2},\ldots \]