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

Question 855191: Simplify[ 2tan(x/2)]1-tan^2(x/2)]
Answer by stanbon(75887) (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.
RELATED QUESTIONS
2tan(x) -2 =... (answered by stanbon)

please help me prove (2tan x/ 1-tan^2 x) (cot x- tan x)... (answered by lwsshak3)

Prove as an identity; sin(2x) = (2tan(x)) /... (answered by lwsshak3)

Prove the identity.... (answered by Alan3354)

Hello! I need help solving this. Perform the addition and use the fundamental... (answered by anand429)

If tan (A+B)= x and tan B =1/2 prove that tan A=2x-1/x+2 and obtain an expression in... (answered by KMST,ikleyn)

Prove sin 2theta = 2tan theta/ 1 + tan^2... (answered by lwsshak3)

Sec^2 x - 2tan x =... (answered by stanbon)

Find all the angles x where 0° < x < 360° such that a) 4(tan x - 1) = 3(5 - 2tan x)... (answered by Alan3354)