March 16th, 2017, 07:57 AM  #1 
Senior Member Joined: Jul 2016 From: USA Posts: 108 Thanks: 13  Simplify: sin(x)+tan(x)
Pretty simple simplification problem here. Can sin(x)+tan(x) be simplified to where there is only one "x" appearing in the expression rather than two "x"s? For example sin(x)/cos(x) can be reduced to tan(x) where there is only one "x" appearing in the expression. Also, I wanted to bring up another question for those who are still with me. Is there a specific field of math that deals with manipulating expressions such that there is only 1 of a certain variable appearing. For instance: x^2 + x =x^2 + x/2 + x/2 =x(x+1/2) + x/2 =x(x+1/2) +1/2(x+1/2)  1/4 =(x + 1/2)(x + 1/2)  1/4 =(x + 1/2)^2  1/4 Here, I manipulated the expression such that x only appears once. Is there a specific field of math that deals with challenges like these? It would be in the category of algebra, I suppose, but a more specific form of algebra. Hope that makes sense. Thanks! 
March 16th, 2017, 09:28 AM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 3,002 Thanks: 1588 
I don't believe one can state the expression $sin{x}+\tan{x}$ in terms of a single trig function ... if possible, it would already exist on a list of identities.


Tags 
simplify, sinx, tanx 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Simplify  girlbadatmath  Algebra  3  August 16th, 2014 12:09 AM 
Simplify (x^2+y^2)/(x+xy)  Chikis  Algebra  5  July 11th, 2014 05:35 PM 
simplify  mared  Algebra  1  July 10th, 2014 07:36 AM 
Simplify this...  perfect_world  Algebra  3  July 29th, 2013 03:58 AM 
Simplify (?)  thinkfast  Algebra  2  January 27th, 2012 06:51 AM 