The trigonometric function is
and the interval is
.
Find the value of
by using Pythagorean identity.
\
\
Pythagorean identity :
.
\
\

The angle
is in
.
Since the secant function is negative in second quadrant, take
.
Reciprocal identity :
.

Pythagorean identity :
.

Since sine function is positive in second quadrant,
.
Double-angle formula :
.
Substitute
and
in the above double-angle formula.

The value of
.
Double-angle formula :
.
Substitute
in the above double-angle formula.

The value of
.
Quotient identity :
.
.
Substitute
and
in the above equation.

The value of
.
The values of
.
The value of
.
The value of
. \ \