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:<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>