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Old May 13th, 2008, 05:46 PM
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Default Help with Trigonometry-- Cos(-1)
We have a test tomorrow that he hinted there is a problem we did not go over on. I actually got the answers from a friend because I got impossibly stuck. Our test is on circles but he wanted it to be adding in Soh Cah Toa again a little.

Help?
Someone please explain Cos(-1). What does it find?
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Old May 13th, 2008, 06:38 PM
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Originally Posted by naturallynatalie View Post
We have a test tomorrow that he hinted there is a problem we did not go over on. I actually got the answers from a friend because I got impossibly stuck. Our test is on circles but he wanted it to be adding in Soh Cah Toa again a little.

Help?
Someone please explain Cos(-1). What does it find?
It denotes the cosine of the angle if you went one radian clockwise on the cartesian plane opposed to the usual counter clockwise...it is equlivalent to \cos(2\pi-1)
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\int_0^z\ln\Gamma(x+1)dx=\frac{z}{2}\ln(2\pi)-\frac{z(z+1)}{2}+z\ln\Gamma(z+1)-\ln\left\{(2\pi)^{\frac{z}{2}}\exp\left(\frac{-z(z+1)}{2}-\frac{\gamma z^2}{2}\right)\prod_{k=1}^{\infty}\left\{\left(1+\frac{z}{k}\right)^k\exp\left(-z+\frac{z^2}{2k}\right)\right\}\right\}
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