My Math Forum  

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

Trigonometry Trigonometry Math Forum


Thanks Tree3Thanks
  • 2 Post By skeeter
  • 1 Post By skeeter
Reply
 
LinkBack Thread Tools Display Modes
April 25th, 2017, 08:40 AM   #1
Newbie
 
Joined: Apr 2017
From: Philippines

Posts: 2
Thanks: 0

Can anyone verify this identity?

cot(x) / csc^2(x) + csc(x)cot(x)-1 = sin(x)/(1+cos(x))


I tried using the fundamental identities but got stuck at some point or another. Any help is appreciated, thanks!
trisource is offline  
 
April 25th, 2017, 08:53 AM   #2
Senior Member
 
Joined: May 2016
From: USA

Posts: 857
Thanks: 348

So we don't waste time going over what you already tried, please show us what you have already done. That makes it easy to identify where you may have made a mistake.
JeffM1 is offline  
April 25th, 2017, 09:02 AM   #3
Global Moderator
 
greg1313's Avatar
 
Joined: Oct 2008
From: London, Ontario, Canada - The Forest City

Posts: 7,662
Thanks: 965

Math Focus: Elementary mathematics and beyond
Quote:
Originally Posted by trisource View Post
cot(x) / csc^2(x) + csc(x)cot(x)-1 = sin(x)/(1+cos(x))
I'm not sure that's correct (could be wrong, though). Are you sure that's the question?
greg1313 is online now  
April 25th, 2017, 09:07 AM   #4
Math Team
 
Joined: Jul 2011
From: Texas

Posts: 2,678
Thanks: 1339

Quote:
Originally Posted by trisource View Post
cot(x) /(csc^2(x) + csc(x)cot(x)-1) = sin(x)/(1+cos(x))


I tried using the fundamental identities but got stuck at some point or another. Any help is appreciated, thanks!
parentheses, parentheses, parentheses ...


in the denominator, note that $\csc^2{x} = 1 + \cot^2{x}$ ...
Thanks from topsquark and trisource
skeeter is offline  
April 25th, 2017, 11:12 AM   #5
Newbie
 
Joined: Apr 2017
From: Philippines

Posts: 2
Thanks: 0

cot(x) / csc^2x + cscxcotx-1 = sinx/1+cosx
Working on left-hand side

cot(x) / csc^2x + cscxcotx-1
cot(x) / 1+cot^2x +cscxcotx-1
**cancel out constants**

cot(x) / cot^2x+cscxcotx
cot(x) / cotx(cotx+csx)

cot(x) / cotx(cotx+csx)
**cancel out cotx**

1 / (cotx+csx) = sin(x)/(1+cos(x))

And im stuck on what to do here next.



ps: Sorry if my formatting is not so good yet. I only just joined.

Last edited by trisource; April 25th, 2017 at 11:16 AM.
trisource is offline  
April 25th, 2017, 11:40 AM   #6
Math Team
 
Joined: Jul 2011
From: Texas

Posts: 2,678
Thanks: 1339

Quote:
cot(x) / (csc^2x + cscxcotx-1) = sinx/(1+cosx) parentheses
Working on left-hand side

cot(x) / (csc^2x + cscxcotx-1) parentheses
cot(x) / (1+cot^2x +cscxcotx-1) parentheses
**cancel out constants**

cot(x) / (cot^2x+cscxcotx) parentheses
cot(x) / [cotx(cotx+csx)] brackets

cot(x) / [cotx(cotx+csx)] brackets

1 / (cotx+csx) = sin(x)/(1+cos(x))

And im stuck on what to do here next.
$\dfrac{1}{\cot{x}+\csc{x}} \cdot \dfrac{\sin{x}}{\sin{x}}$ ... finish it.
Thanks from trisource
skeeter is offline  
Reply

  My Math Forum > High School Math Forum > Trigonometry

Tags
cot(x)/csc^2x+cscxcotx-1, identity, verify



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Verify the following identity roketmike Trigonometry 3 July 15th, 2014 09:51 AM
Verify the Identity swm06 Algebra 3 May 7th, 2013 09:18 AM
Verify This Trigonometric Identity reaper Trigonometry 6 February 12th, 2012 07:51 PM
Verify Trigonometric Identity luigihs Algebra 3 January 6th, 2011 02:37 PM
Verify identity Frenchiex Calculus 4 August 14th, 2010 02:47 AM





Copyright © 2017 My Math Forum. All rights reserved.