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Your search keyword '"Trigonometric number"' showing total 10 results
Start Over Descriptor "Trigonometric number" Journal the american mathematical monthly
10 results on '"Trigonometric number"'

1. On Some Power Sums of Sine or Cosine

Author

Mircea Merca

Subjects
Series method, General Mathematics, Mathematical analysis, Fourier sine and cosine series, Discrete cosine transform, Trigonometric number, Trigonometric functions, Sine, Sine and cosine transforms, Mathematics, Power (physics)
Abstract

In this note, using the multisection series method, we establish the formulas for various power sums of sine or cosine functions.

Published
2014
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2. Proof of Euler’s Infinite Product for the Sine

Author

Lars Holst

Subjects
symbols.namesake, General Mathematics, Law of sines, Product (mathematics), Mathematical analysis, Euler's formula, symbols, Trigonometric number, Infinite product, Sine, Gamma function, Rational trigonometry, Mathematics
Abstract

The product formula for the sine function is proved using the Gamma function and elementary probability theory. Some corollaries of the sine formula are also pointed out.

Published
2012
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4. Note on Rational Curves with Trigonometric Parameter

Author

R. M. Winger

Subjects
symbols.namesake, Pure mathematics, Pythagorean trigonometric identity, General Mathematics, Trigonometric substitution, Trigonometric integral, Differentiation of trigonometric functions, symbols, Trigonometric number, Trigonometry, Proofs of trigonometric identities, Integration using Euler's formula, Mathematics
Published
1934
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6. Addition Theorems for the Sine and Cosine

Author

Carl Cohen

Subjects
Algebra, Discrete sine transform, General Mathematics, Mathematical analysis, Fourier sine and cosine series, Discrete cosine transform, Trigonometric functions, Trigonometric number, Sine, Sine and cosine transforms, Mathematics
Published
1956
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7. The Addition Formulas for the Sine and Cosine

Author

E. J. McShane

Subjects
Discrete sine transform, Modified discrete cosine transform, General Mathematics, Mathematical analysis, Fourier sine and cosine series, Discrete cosine transform, Trigonometric functions, Trigonometric number, Sine, Sine and cosine transforms, Mathematics
Published
1941
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8. Sine and Cosine Approximation Curves

Author

Helen M. Kammerer

Subjects
Discrete sine transform, Modified discrete cosine transform, General Mathematics, Fourier sine and cosine series, Mathematical analysis, Discrete cosine transform, Trigonometric functions, Trigonometric number, Sine, Mathematics, Sine and cosine transforms
Published
1936
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10. The General Sine and Cosine Curves

Author

E. L. Eagle

Subjects
Discrete sine transform, General Mathematics, Mathematical analysis, Fourier sine and cosine series, Discrete cosine transform, Trigonometric functions, Trigonometric number, Sine, Mathematics
Published
1950
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