The trigonometric expression is
.
Let
in the interval
.
Let
in the interval
.
.
Difference formula of tangent function :
.
Find
.
Consider
.
.
From Pythagorean theorem,
\The square of the hypotenuse is equal to sum the squares of the other two sides.
\
.
\
Find
.
Consider
.
.
From Pythagorean theorem,
\
.
\
.
Substitute
,
.

, where
and
.
, where
and
.