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:<math> (F'\cdot\sin - F\cdot\cos)' =f\cdot\sin. </math> :<math> \int_0^\pi f(x)\sin(x)\,dx </math>

wtemp=sin(0.5*theta); wpi=sin(theta);

'''Atonement''' is reparation for [[sin]], so that the sinner is made acceptable to God, and is a central concept i

: <math> \lim_{x\to 0}\frac{\sin x}{x} = 1 </math> : <math>\sin' x = \cos x \, </math>

...]] the mother of Jesus of Nazareth, was herself conceived without Original Sin.

...torial power in northern Mesopotamia. The kingdom of [[Larsa]] under [[Rim-Sin]] controlled southern Mesopotamia, while much of northern Mesopotamia was u ...military campaigns against rivals to the east and south. His defeat of Rim-Sin gave him control of all of southern Sumer, including the important religiou

y &= r \sin\theta, \\ \cos\theta & -r\sin\theta \\

Daniel Brandt, ''PageRank: Google's Original Sin.'' (August 2002) [[http://www.google-watch.org/pagerank.html GoogleWatch]]

wtemp=sin((double)0.5*theta); wpi=sin(theta);

:<math> \lim_{x \to 0}\frac{\sin(x)}{x} = 1 , </math> :<math> f(x)=\frac{\sin(x)}{x} </math>

\sin\left(\frac{\pi}{4}x\right) \sin\left(\frac{\pi}{4}y\right) </math> is plotted in the range

Auto-populated based on [[Special:WhatLinksHere/Sin]]. Needs checking by a human.

\cos\alpha & -\sin \alpha & 0 \\ \sin\alpha & \cos \alpha & 0 \\

x=r\cos\theta,\quad y = r\sin\theta r^4 = 2 a^2 r^2 (\cos^2\theta - \sin^2\theta) \Longrightarrow r^2 = 2 a^2 \cos2\theta.

:<math> I_x\; \stackrel{\theta_y}{\longrightarrow}\;I_x cos(\theta) - I_z sin(\theta) </math> :<math> I_x\; \stackrel{\theta_z}{\longrightarrow}\;I_x cos(\theta) + I_y sin(\theta) </math>

math:sin(3.1415/2).

{{r|sin}}

...on '''sine''' and its complementary function '''cosine''', abbreviated '''sin''' and '''cos''', are central. They are used to express relations between a When they learn about sin and cos, the students already have some idea about addition and measurement

{{r|Sin}}

{{r|It's a Sin}}

:<math>\mathbf r (t) = A \sin (\omega t) \mathbf{u_r} \ , </math> :<math>\mathbf {F_{Inrl}} = m\mathbf \ddot{r} (t) = -mA \omega^2 \sin \omega t \ \mathbf{u_r}=-m\omega^2 \mathbf{r}(t) \ . </math>

Common examples of periodic functions are <math>\sin(\omega t)</math> and <math>\cos(\omega t)</math>, which both

{{r|Sin}}

wi1=sin(theta); wpi=sin(2.0*theta);

:<math>\cos (x+y) = \cos(x)\cos(y)-\sin (x) \sin (y) \ , </math> :<math>\frac{2}{P}\int_0^P \ d \xi \sin\left(\frac{2\pi}{P/n}\xi\right)\sin\left(\frac{2\pi}{P/m}\xi\right) = \delta_{n,m} \ , </math>

...ere are other possible bases, for example the shifted functions <math>y = \sin(x+\alpha)</math> and <math>y = \cos(x+\alpha)</math> for any [[phase angle]

&&\times \left(\cos\frac{\beta}{2}\right)^{2j+m-m'-2s}\left(\sin\frac{\beta}{2}\right)^{m'-m+2s} ...eta) = (-1)^{\lambda} \binom{2j-k}{k+a}^{1/2} \binom{k+b}{b}^{-1/2} \left(\sin\frac{\beta}{2}\right)^a \left(\cos\frac{\beta}{2}\right)^b P^{(a,b)}_k(\cos

{{r|Original sin (economics)}}

...\sin(2\pi f_1t)+a\sin(2\pi f_2t)=2a\cos\left(2\pi\frac{f_1-f_2}{2}t\right)\sin\left(2\pi\frac{f_1+f_2}{2}t\right)</math>

f[m*N1+n]=sin(M_PI*x/4)*sin(M_PI*y/4);}}

...; \Longrightarrow\; dx=-\sin \theta d\theta\quad\hbox{and}\quad 1-x^{2} =(\sin \theta)^2. =(-1)^{l+1}\int\limits_{\pi}^{0}\left( \sin \theta \right) ^{2l+1} d\theta,

.... Tidus tries to flee, but Auron allows the two of them to be pulled in by Sin. <ref>'''Tidus:''' "Auron! Let's get out of here!" <br /> '''Auron:''' "We' ...eam? <br /> '''Tidus:''' You mean I'm sick? <br /> '''Rikku:''' Because of Sin's toxin, yeah.</ref>

:<math> \psi(x) = a\cos (kx) + b \sin (kx)\ ,</math> :<math> 0=\psi(0)=a\cos(0)+b\sin(0)=a\ .</math>

...a life without committing sin, and thus was a fit sacrifice for humanity's sin, a view known as "[[substitutionary atonement]]". He is also considered to ...ginal sin is inherited; rather, we all freely face the same choice between sin and salvation that Adam and Eve did. Pelagianism was opposed by the Council

\int_{0}^{\pi}\sin\theta\, d\theta \int_0^{2\pi} d\varphi\; R^m_{\ell}(\mathbf{r})^*\; R^m_{\e ...l}^m (\cos\theta) \equiv \left[\frac{(\ell-m)!}{(\ell+m)!}\right]^{1/2} \,\sin^m\theta\, \frac{d^m P_\ell(\cos\theta)}{d\cos^m\theta}, \qquad m\ge 0,

The [[trigonometry|trigonometric functions]] <math>\sin x</math>, <math>\cos x</math>, <math>\tan x</math>, <math>\sec x</math>, <m

h_r = 1, \qquad h_\theta = r, \qquad h_\phi = r\sin\theta \nabla \times \mathbf{F} = \frac{1}{r^2\sin\theta}

...le \mathbb{R}^3</math>, the vector product is a vector with length ''AB'' sin &theta;_AB, where ''A'' is the length of '''A''', ''B'' is the ...\times \mathbf{B} = \mathbf{a}_\textrm{N}\, |\mathbf{A}|\, |\mathbf{B}|\,\sin\theta_{AB},

d\mathbf{S} = r^2\, \sin\theta \, d\theta\, d\phi \, \mathbf{e}_r\quad \hbox{and}\quad \mathbf{E}\cdot d \mathbf{S} = E_r(r) r^2 \sin\theta d\theta d\phi

==Periodicity and relation with [[sin]] and [[cos]] functions== : <math> \exp(\mathrm{i} z) = \cos(z)+\mathrm{i} \sin(z) ~ \forall z\in \mathbb{C} </math>

2T = \mu R^2\big [\dot{\theta}^2+(\dot\varphi\,\sin\theta)^2\big]. H = \frac{1}{2\mu R^2}\left[p^2_{\theta} + \frac{p^2_{\varphi}}{\sin^2\theta}\right].

...s <math>~\mathrm pow( sin(x),a)~</math> or as <math>~\mathrm{pow}_a\big(\sin(x)\Big)~</math>. !-->

sb = sin(beta) sa = sin(alpha)

\frac{1}{\sin \theta}\frac{d}{d\theta} \sin\theta \frac{d}{d\theta}P^{m}_\ell +\left[ \ell(\ell+1) - \frac{m^2}{\sin^2\theta}\right] P^{m}_\ell = 0.

...and ''y'' axis is therefore ''r'' sin&theta;cos&phi; and ''r'' sin&theta;sin&phi;, respectively. In summary, the spherical polar coordinates ''r'', &the x &= r \sin\theta\cos\phi \\

\int^{\pi}_{0} P_{n}(\cos\theta) P_{n'}(\cos\theta) \sin\theta \;d\theta = 0\quad \hbox{for}\quad n\ne n'. \frac{d}{d\cos\theta} \sin^2\theta \frac{d}{d\cos\theta}

...da - \Delta \lambda } - ( f + \Delta f )t \right) \right] </math><math>+ \sin \left[ 2 \pi \left( \frac {x}{\lambda + \Delta \lambda } - ( f - \Delta f ...2 \pi \left( \frac {x} {\lambda_{mod}} - \Delta f \ t \right) \right] \ \sin \left[ 2 \pi \left( \frac {x}{\lambda} - f \ t \right) \right] \ , </mat

#'It's a Sin' (Fred Rose, Zeb Turner) - 2:39

:<math> g = G \left[ 1 + \left(\frac{5}{2} m - f\right) \sin^2 \varphi \right] \ , </math> :<math>g = G \left[ \frac{1+k\sin^2 \varphi}{\sqrt{1-e^2 \sin^2 \varphi }} \right] \ , </math>

d\Omega = r^2\;|\sin(\pi+\theta)|\; d\theta d\phi=r^2\;\sin\theta\; d\theta d\phi, \quad ...pi+\theta)\; d\Omega}{4\pi \epsilon_0 r^2} =\mathbf{n} \frac{P \cos\theta\sin\theta d\theta d\phi}{4\pi \epsilon_0 }.