My Math Forum Differentials cos(57°)

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 May 5th, 2013, 05:52 PM #1 Newbie   Joined: Feb 2013 Posts: 23 Thanks: 0 Differentials cos(57°) Would it be 1/2 - 1/200 * sqrt(3)pi?
 May 5th, 2013, 09:04 PM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,170 Thanks: 472 Math Focus: Calculus/ODEs Re: Differentials cos(57°) Let's have a look see... I like to begin with: $\frac{\Delta y}{\Delta x}\approx\frac{dy}{dx}$ $y(x+\Delta x)-y(x)\approx\frac{dy}{dx}\cdot\Delta x$ $y(x)\approx y(x+\Delta x)-\frac{dy}{dx}\cdot\Delta x$ Let: $y=\cos(x),\,x=57^{\circ},\,\Delta x=3^{\circ}$ and we have: $\cos(57^{\circ})\approx\frac{1}{2}+\frac{\sqrt{3}\ pi}{120}$

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