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[parent] cosine at multiples of straight angle (Definition)

Everybody remembers the cosine values $$\cos 0 = 1,\quad \cos(\pm\pi) = -1,\quad \cos(\pm2\pi) = 1,\quad \cos(\pm3\pi) = -1,\,\,...$$ The thing can be concisely expressed as the formula $$\cos{n\pi} = (-1)^n$$ for each integer $n$ . The values of sine at the same angles are simply 0.




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See Also: multiple, complex sine and cosine, higher order derivatives of sine and cosine, Fourier sine and cosine series, general associativity, value of Riemann zeta function at $s = 4$, value of Dirichlet eta function at $s = 2$

Keywords:  straight angle

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Cross-references: angles, sine, integer, cosine
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This is version 3 of cosine at multiples of straight angle, born on 2006-03-12, modified 2007-01-19.
Object id is 7716, canonical name is CosineAtMultiplesOfStraightAngle.
Accessed 1497 times total.

Classification:
AMS MSC26A09 (Real functions :: Functions of one variable :: Elementary functions)

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