Special Trigonometric Functions

It is always important to remember the basic properties of elementary trigonometric graphs. Many graphs on the AP test will be variations of the graphs below. The table below shows the periods and amplitudes of these functions.

Sin Graph       Cos Graph

Tan Graph       CSC Graph

Sec Graph       Cot Graph

FunctionPeriodAmplitude
y=a sin bx or y=a cos bx2pi/|b||a|
y=a tan bx or y=a cot bx2pi/|b|NA
y=a sec bx or y=a csc bx2pi/|b|NA