tells us that angle u is in
the fourth quadrant.
Since and we are given that
, we consider the as ,
the we can make the numerator be the adjacent side of +5 and
the denominator be -1.
So we draw a right triangle in the fourth quadrant whose adjacent
side is +5 and whose opposite side is -1. [We knew to consider
the -5 as and not because
+5 goes to the right and -1 goes down.]
The angle u is represented by the red arc drawn counterclockwise
from the right side of the x-axis to the terminal side which is
the hypotenuse of the right triangle.
The hypotenuse is calculated from the Pythagorean theorem:
<-- the hypotenuse is always positive!
Now we use some double angle identities:
We could use the formula for tan(2u), but it's easier
to use
Edwin