Posted by Carol on Monday, January 3, 2011 at 6:45pm.
Third time is the charm? I'll try again.
Could someone show me how,
( sin (x/2) /( 2 sin (x/2) + cos (x/2))
is an alternate representation for,
1 / ( 4 tan (x/2) + 2 )
TIA
Carol
This doesn't require the solving of any equations. For example, ( same concept for what I need done above )
1st representation: (sec x )/(tan^2 x)
Since, sec x = 1/cos x and
tan x = sin x /cos x
the 1st representation can be converted to,
(cos x )/(sin^2 x )
Hope this clears things up?
TIA,
Carol

trig  Reiny, Monday, January 3, 2011 at 7:51pm
Both bobpursley and I showed you in 2 different replies that
( sin (x/2) /( 2 sin (x/2) + cos (x/2)) cannot be an alternate representation of 1 / ( 4 tan (x/2) + 2 )
http://www.jiskha.com/display.cgi?id=1294088333
and
http://www.jiskha.com/display.cgi?id=1294093837
trust us, and check your problem and typing again.