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October 26th, 2017, 10:35 AM  #1 
Newbie Joined: Oct 2017 From: Wales Posts: 3 Thanks: 0  Taylor series for sin(x)
Hiya all, I've been told you can use the Taylor Series to compute functions of sin(x) without a calculator. I have managed to do so for x=61, by using x=61, a=60; however I've had some difficulty doing similarly with x=31, a=30. I would appreciate any help or suggestions!! Thank you Taylor Series I've been using: f(x) = f(a) + (f'(a)(xa))/1! + (f''(a)(xa)^2)/2! + .... 
October 26th, 2017, 11:06 AM  #2  
Math Team Joined: May 2013 From: The Astral plane Posts: 1,888 Thanks: 765 Math Focus: Wibbly wobbly timeywimey stuff.  Quote:
$\displaystyle sin(31) \approx \left ( \frac{1}{2} \right ) + \left ( \frac{\sqrt{3}}{2}\right )  \left ( \frac{1}{2} \cdot \frac{1}{2} \right )  \left ( \frac{1}{6} \cdot \frac{\sqrt{3}}{2} \right )$ Does that help?  
October 26th, 2017, 12:16 PM  #3  
Newbie Joined: Oct 2017 From: Wales Posts: 3 Thanks: 0  Quote:
Thank you  
October 26th, 2017, 12:19 PM  #4  
Senior Member Joined: Aug 2012 Posts: 2,010 Thanks: 574  Quote:
 
October 26th, 2017, 12:29 PM  #5 
Math Team Joined: May 2013 From: The Astral plane Posts: 1,888 Thanks: 765 Math Focus: Wibbly wobbly timeywimey stuff.  
October 26th, 2017, 12:49 PM  #6  
Newbie Joined: Oct 2017 From: Wales Posts: 3 Thanks: 0  Quote:
Thank you both for your help!!!  

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series, sinx, taylor 
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