The equation is
.
Squaring on both sides.
\
From the trignometric identity
.
The solution set for the above equation in
:
and
.
Check each solution in the original equation.
\\
\
Check for
:
\
\
Check for
:
\
Check for
:
\
\
Check for
:
\
\
Therefore, the only solutions to this equation is on the interval
are
and
.
\
Graph the functions
and
on the same graph on the interval
.
(1). Draw the coordinate plane.
\(2).Graph the functions
and
.
Graph :
\
Observe the graph :
\\
The graphs intersects at
and
.
\
So the solutions are
and
.
\
\
The solutions for the interval
are
and
.