SOLUTION: Simplify[ 2tan(x/2)]1-tan^2(x/2)]

Algebra ->  Trigonometry-basics -> SOLUTION: Simplify[ 2tan(x/2)]1-tan^2(x/2)]      Log On


   

Question 855191: Simplify[ 2tan(x/2)]1-tan^2(x/2)]
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify[ 2tan(x/2)]1-tan^2(x/2)]
--------
(2(sin/cos))(1 - sin^2/cos^2)
--------
2(sin/cos)(cos^2-sin^2)/cos^2
--------
[(2sin*cos/cos^2][cos(2(x/2))/cos^2]
---------
[2sin(2(x/2))/cos^2]
----------
[2sin(x)/cos^2(x/2)]*cos(x)/cos^2(x/2)]
-----
(2sin(x)cos(x)]/cos^4(x/2)
------
sin(2x)/cos^4(x/2)
=========================
Cheers,
Stan H.