is
a basic trigonometric function –
or
–
then
O Level Additional Maths Notes: Amplitude, Period, Maximum and Minimum of Trigonometric Functions
Ifis
a basic trigonometric function –or–
then
has
period
ifis
or
and
period
ifis
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
of
are
and
respectively,
and the period of
is
the
frequency is
The period and frequency of each curve above are the
same since the coefficient of
is
the same. The normal transformation rules apply. Adding 1 to sin x
moves the curve up 1 and subtracting
from
x moves the curve right