The value of the trigonometric function
, and the interval is
.
Double-angle formulas :
,
(or)
,
.
Find the value of
by using Pythagorean identity.
Pythagorean identity :
.

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

Pythagorean identity :
.

Since sine function is negative in third quadrant,
.

The value of
.

The value of
.
Quotient identity :
.
.

The value of
.
The values of
,
, and
.