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Hi, I'm Wyls1000. I am deeply interested in many aspects of general science and technology, and I enjoy editing articles related to biology, current events...

The square sine and square cosine functions are akin to their trigonometric counterparts, but instead of defining an unit circle, they define a square...

are the sine, cosine, and tangent. The sine function takes an angle and tells the length of the y-component (rise) of that triangle. The cosine function...

and cos θ. The tangent (tan) of an angle is the ratio of the sine to the cosine: tan ⁡ θ = sin ⁡ θ cos ⁡ θ . {\displaystyle \tan \theta ={\frac {\sin \theta...

arcus Sinus versus Tan (trigonometry) Tangens Tangent (trigonometry) Tg (trigonometry) Turned chord Vercosine Versed cosine Versed sine Versine Versinus...

{cosh(opposite)}}.} The hyperbolic cosine of the adjacent leg to angle A is the ratio of the cosine of angle B to the sine of angle A. cosh(adjacent) = cos...

Interestingly, iterating tan ⁡ ( sin ⁡ ( x ) ) {\displaystyle \tan(\sin(x))} 7 times gets pretty close of the square sine function, but it still doesn't...

nonzero because sine factors will vanish, and in each term, all but finitely many of the cosine factors will be unity. Let xi = tan(θi ), for i = 1, ...

sine and cosine to other trigonometrical ratios, like tangent, secant and their inverse functions. Derived the formulae: sin ⁡ α = tan ⁡ α / 1 + tan 2...

identity, which states that for any angle, the square of the sine plus the square of the cosine is always 1. This is easy to see by studying a right triangle...

out all the cosine and sine compound and multiple angles terms to their constituent expanded parts. Then exchange all the cosine and sine terms to cosh...

h = tan ⁡ 1 2 θ . {\displaystyle h=\tan {\tfrac {1}{2}}\theta .} Hardy (2015) calls these functions the stereographic sine, stereographic cosine, and...

hundredth. Remember, you may use the 45°-45°-90° Theorem or the Law of Cosines and Sines. The picture supplied to the right is drawn to scale. Answer: 5 2...

Trigonometric ratios in right triangles 5.1.1 Sine, cosine and tangent 5.1.2 Inverse functions 5.2 Sine, cosine and tangent rules 5.3 Solution of triangles...

it is how results equivalent to the sum and difference formulas for sine and cosine were first proved (see the section on classical antiquity in the page...

The basic hyperbolic functions are: hyperbolic sine "sinh" (/ˈsɪŋ, ˈsɪntʃ, ˈʃaɪn/), hyperbolic cosine "cosh" (/ˈkɒʃ, ˈkoʊʃ/), from which are derived:...

is the stereographic cosine and S ( h ) = 2 h / ( 1 + h 2 ) {\displaystyle S(h)=2h/(1+h^{2})} is the stereographic sine. When expanded as a rational...

You will get the following plot of a sine wave and cosine wave, with the sine wave in a solid red line and the cosine wave in a green line made up of x's:...

{d^{n}y}{dx^{n}}}&=&\sin \left(x+{\frac {n\pi }{2}}\right)\end{array}}} Cosine function y = cos ⁡ x d n y d x n = cos ⁡ ( x + n π 2 ) {\displaystyle...

^{2}(x)}}} tan ⁡ ( 2 x ) = 2 tan ⁡ ( x ) 1 − tan 2 ⁡ ( x ) {\displaystyle \tan(2x)={\frac {2\tan(x)}{1-\tan ^{2}(x)}}} cot ⁡ ( 2 x ) = cot ⁡ ( x ) − tan ⁡ (...