## Amplitude, Period, Maximum and Minimum of Trigonometric Functions

Ifis a basic trigonometric function –or– then

1. has     periodifisorand     periodifis

2. has     maximum value of 1 and minimum value of -1 ifisorandhas     no maximum or minimum value ifis

The transformation of graph rules are applied in the usual way. This is illustrated above for This means that the maximum and minimum values ofareandrespectively, and the period ofisthe frequency is

The period and frequency of each curve above are the same since the coefficient ofis the same. The normal transformation rules apply. Adding 1 to sin x moves the curve up 1 and subtractingfrom x moves the curve right