My Math Forum  

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

Trigonometry Trigonometry Math Forum


Thanks Tree2Thanks
  • 1 Post By topsquark
  • 1 Post By skeeter
Reply
 
LinkBack Thread Tools Display Modes
December 11th, 2016, 06:27 PM   #1
Newbie
 
Joined: Dec 2016
From: USA

Posts: 11
Thanks: 0

Evaluate exaclty

tan(2pi/3-2009pi)
Kingsiso is offline  
 
December 11th, 2016, 06:33 PM   #2
Math Team
 
topsquark's Avatar
 
Joined: May 2013
From: The Astral plane

Posts: 1,437
Thanks: 528

Math Focus: Wibbly wobbly timey-wimey stuff.
Quote:
Originally Posted by Kingsiso View Post
tan(2pi/3-2009pi)
Tangent has a period of $\displaystyle \pi$. That means $\displaystyle tan(x + k \pi ) = tan(x)$ for any integer k. So how many multiples of $\displaystyle \pi$ are there in $\displaystyle 2009 \pi$? (Yes, it's almost a trick question.)

-Dan
Thanks from greg1313
topsquark is offline  
December 11th, 2016, 06:54 PM   #3
Newbie
 
Joined: Dec 2016
From: USA

Posts: 11
Thanks: 0

You just confused me, I'm also impressed by that vocabulary
Kingsiso is offline  
December 11th, 2016, 07:30 PM   #4
Math Team
 
Joined: Jul 2011
From: Texas

Posts: 2,105
Thanks: 981

Quote:
Originally Posted by Kingsiso View Post
You just confused me, I'm also impressed by that vocabulary
for $k$ = any integer, $\tan(x + k\pi) = \tan{x}$ because the tangent function has a period (repeats itself) every $\pi$ units.

note the attached graphs ... see any difference?
Attached Images
File Type: jpg tanx.jpg (14.2 KB, 0 views)
File Type: jpg tanx+100pi.jpg (15.5 KB, 0 views)
File Type: jpg tanx+2009pi.jpg (15.7 KB, 0 views)
Thanks from topsquark
skeeter is offline  
December 11th, 2016, 08:03 PM   #5
Newbie
 
Joined: Dec 2016
From: USA

Posts: 11
Thanks: 0

Thanks guy!
Kingsiso is offline  
Reply

  My Math Forum > High School Math Forum > Trigonometry

Tags
evaluate, exaclty



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
If x/y = 3/7, evaluate 2x-y/3x+y Chikis Algebra 20 July 10th, 2014 11:33 PM
help me evaluate this kingkos Algebra 9 October 2nd, 2012 09:33 AM
Evaluate this kingkos Advanced Statistics 1 October 1st, 2012 12:48 PM
Evaluate lim instereo911 Calculus 2 October 28th, 2009 03:57 PM
Evaluate lim a_n = n{(ea)^(1/n) - a^(1/n)}, n ge 1 knowledgegain Calculus 2 April 26th, 2009 07:58 PM





Copyright © 2017 My Math Forum. All rights reserved.