## Keywords

**Period:-** A periodic function is one which repeats its pattern regularly. The period is the horizontal span covered in one full oscillation (or one full pattern before repeating).

**Range:-** The interval of values which the function maps into.

## Sine (Sin)

**Period:**\(360^o\) or \(2\pi\hspace{4pt}\text{rads}\)

**Range:**\(-1\leq\sin(\theta)\leq1\)

Note that the \(\sin(0)=0\), keeping some key points like this in mind will help with sketching.

## Cosine (Cos)

**Period:**\(360^o\) or \(2\pi\hspace{4pt}\text{rads}\)

**Range:**\(-1\leq\sin(\theta)\leq1\)

Note that the \(\cos(0)=1\). Cos and Sin have the same shape graph,
but Cos is transposed (shifted) \(90^o\) or \(\frac{\pi}{2}\hspace{4pt}\text{rads}\) to the left.

## Tangent (Tan)

**Period:**\(180^o\) or \(\pi\hspace{4pt}\text{rads}\)

**Range:**\(-\infty < \tan(\theta) < \infty\)

Note that \(\tan(0)=0\). Also there are vertical asymptotes at \((90+180n)\)
degrees or \((\frac{\pi}{2}+n\pi)\) radians, where \(n\) is any integer.