Step-by-step explanation:
The frequency of sine function is given by the number of periods in a given range. For example:
- Frequency for
is 1 in the interval
.
This means that, if we want another sine function with frequency 20% higher, we need that function to have a frequency of 1.2 in the interval .
To be easier to see we will consider interval instead of
. In this interval
has 5 periods, therefore our new sine function should have 6 periods.
Finally, as we can see in the graph, the function (in blue) has a frequency 20% higher than
(in red). This can be easily seen counting the number of periods between 0 and
for both functions. 5 for
and 6 for
.
