My Math Forum  

Go Back   My Math Forum > High School Math Forum > Trigonometry

Trigonometry Trigonometry Math Forum


Thanks Tree2Thanks
  • 2 Post By skeeter
Reply
 
LinkBack Thread Tools Display Modes
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!
VisionaryLen is offline  
 
March 16th, 2017, 09:28 AM   #2
Math Team
 
Joined: Jul 2011
From: Texas

Posts: 2,623
Thanks: 1303

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.
Thanks from greg1313 and VisionaryLen
skeeter is offline  
Reply

  My Math Forum > High School Math Forum > Trigonometry

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





Copyright © 2017 My Math Forum. All rights reserved.