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
.