Register to reply 
Sin/cos/tan by hand? 
Share this thread: 
#1
Feb514, 03:55 AM

P: 6

Does it exist a numerical method to calculate for example sin (42°), sin (43°), sin (44°) etc by hand?



#2
Feb514, 05:06 AM

PF Gold
P: 1,516

This may help.



#3
Feb514, 06:57 AM

P: 698

[tex] \sin ( \pi/4 + x) = \sin(\pi/4) \cos(x) + \sin(x) \cos(\pi/4) = \left(\cos(x) + \sin(x) \right) / \sqrt{2}. [/tex] Your values of [itex]x[/itex] are [itex]\pi/180, 2 \pi/180,  3 \pi/180, ...[/itex] which are small, so you can take the first few terms in the Taylor series for sin and cos near zero. Even approximating [itex]\cos(x) \approx 1[/itex] and [itex]\sin(x)\approx x[/itex] should get you several correct digits for the exact examples you gave. jason EDIT: I now see that this was included in adjacent's link above. I had just read the first part with the Taylor series about zero ... Oops! 


Register to reply 
Related Discussions  
PF Photo Contest  Hand In Hand (6/297/5)  Photography  2  
Calculus, left hand, right hand limits.  Calculus & Beyond Homework  3  
Left hand trhread versus right hand thread  General Engineering  4  
Left hand and right hand circular polarization  Classical Physics  2 