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In geometry, the polar sine generalizes the sine function of angle to the vertex angle of a polytope. It is denoted by psin. Let v1, ..., vn (n ≥ 1) be...

and special relativity. The basic hyperbolic functions are: hyperbolic sine "sinh" (/ˈsɪŋ, ˈsɪntʃ, ˈʃaɪn/), hyperbolic cosine "cosh" (/ˈkɒʃ, ˈkoʊʃ/)...

Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to...

In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle:...

functions List of periodic functions List of trigonometric identities Polar sine – a generalization to vertex angles Proofs of trigonometric identities...

triple product and the product of the three vector norms is known as a polar sine: a ⋅ ( b × c ) ‖ a ‖ ‖ b ‖ ‖ c ‖ = psin ⁡ ( a , b , c ) {\displaystyle...

In mathematics, the polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference...

a sinusoid specified by either the cosine or sine functions with no phase angle that is plotted in polar coordinates. Rose curves or "rhodonea" were named...

constants Generalized trigonometry Gudermannian function Lissajous curve Polar sine Rational trigonometry Spread polynomials Abbe error Hypot Prosthaphaeresis...

first of the sine rules. See curved variations of the law of sines to see details of this derivation. Applying the cosine rules to the polar triangle gives...

Asymptotes Circular functions Periodic functions Law of cosines Law of sines Polar sine Amplitude Dot product Norm (mathematics) (also known as magnitude)...

Pythagorean theorem for a tetrahedron with a cube corner A law of sines for tetrahedra Polar sine Trigonometric functions can be defined for fractional differential...

u_{2})+i\sin(2\pi u_{2})\right].} In contrast, the polar method here removes the need to calculate a cosine and sine. Instead, by solving for a point on the unit...

}}y<0\end{cases}}\end{aligned}}} in the other. The arcsine function is the inverse of the sine function, and is assumed to return an angle in the range [−⁠π/2⁠, +⁠π/2⁠]...

it is possible to create an arbitrarily phase-shifted sine wave, by mixing together two sine waves that are 90° out of phase in different proportions...

trigonometric series are Fourier series. By expressing a function as a sum of sines and cosines, many problems involving the function become easier to analyze...

trigonometric functions cosine and sine respectively. This complex exponential function is sometimes denoted cis x ("cosine plus i sine"). The formula is still valid...

The polar form takes two samples from a different interval, [−1,+1], and maps them to two normally distributed samples without the use of sine or cosine...

windings, fixed at right (90°) angles to each other on the stator, produce a sine and cosine feedback current. The relative magnitudes of the two-phase voltages...

distance from the Equator increases. Their length can be calculated by a common sine or cosine function. For example, the 60th parallel north or south is half...