The sound emitted by touching 7 is
.
(a) Write this sound as a product of sines or cosines.
\
Apply sum-to-product formula:
.


Apply reduction formula:
.
.
(b) Determine the maximum value of
.

Sine function ranges between
.
The maximum value of sine is
.
Cosine function ranges between
.
The maximum value of cosine is
.

.
(c)
\Graph the function
.
Graph:
\.
(a)
.
(b)
.
(c) Graph of the function is
:
.