The trigonometric expression is .
Let and
, then
and
.
Draw one right triangle with an acute angle and another with an acute angle
.
Label the sides such that and
.
Then use the Pythagorean theorem to express the length of each third side.
\From the diagarm :
\,
,
, and
.
.
Apply cosine difference identity : .
Substitute the values ,
,
, and
.
Therefore, .
.