Acute angle between the lines
and
is
.
The slope of the line
is
.
Where
is the angle made by line
.
The slope of the line
is
.
Where
is the angle made by line
.
Consider
.
Observe the diagram :
\Here the acute angle
is the diference between the angles
and
.

Substitute
in the above expression.
.
Apply tangent difference identity :
.

Substitute
and
in the above equation.

Therefore,
.
.