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.
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From the diagarm :
\
.
and
.
.
Apply tangent sum identity :
.

Substitute the values
and
.

Therefore,
.
.