Solving Limit Involving Trig Function Co sine

ProblemSets · Poincare Conjecture Offline Joined: 28 Jan 2007 Posts: 189

Evaluate the limit:

limit of (1-cosx) / (x) as x approaches pi/4

*non-calculator*

**Posted:** Mon Nov 02, 2009 4:04 am

CommandoGuard · P versus NP Offline Joined: 28 Feb 2006 Posts: 33

Just substitute $x= \frac{\pi}{4}$ .

**Posted:** Mon Nov 02, 2009 4:12 am

ProblemSets · Poincare Conjecture Offline Joined: 28 Jan 2007 Posts: 189

So i get it simplified to [1- sqrt(2)/2] / (pi/4).

Can this be simplified anymore?

**Posted:** Mon Nov 02, 2009 4:19 am

maths486 · Hodge Conjecture Offline Joined: 01 Aug 2009 Posts: 52

the problem could be a "little" more interesting if x approaches 0.

**Posted:** Fri Nov 20, 2009 4:27 am

Dr Sonnhard Graubner

hello, i have
$\lim_{x \to \frac{\pi}{4}}\frac{1-\cos(x)}{x}=\frac{4-2\sqrt{2}}{\pi}$
as the answer.

**Posted:** Fri Nov 20, 2009 2:21 pm