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...ons are '''[[sine]]''' and '''[[cosine]]''', denoted respectively as <math>sin(x)</math> and <math>cos(x)</math>. The other trigonometric functions can be :<math>sin(x) = \frac{e^{ix}-–e^{-ix}}{2i}</math>

0 & 0 & r^2\sin^2\theta \\ 0 & 0 & \frac{1}{r^2\sin^2\theta} \\

:<math>q_1 = \cos \left( \frac{\alpha_1}{2} \right) + u_1 \sin \left( \frac{\alpha_1}{2} \right)</math> :<math>q_2 = \cos \left( \frac{\alpha_2}{2} \right) + u_2 \sin \left( \frac{\alpha_2}{2} \right)</math>

\cos (\beta /2) & \sin(\beta /2)\\ -\sin(\beta /2) & \cos (\beta /2)

...n the confessional of the sin of contraception that this was not a 'mortal sin', and that they need no longer accuse themselves of it if they already have

t=M_PI/4.-z; c=cos(t); s=sin(t); u=1./16./(z*z);

...e equal to 1), has a [[hypotenuse]] of <math>\sqrt{2}</math>. Thus, <math>\sin\left(\frac{\pi}{4}\right) = \cos\left(\frac{\pi}{4}\right)=\frac{1}{\sqrt{2

F_\nu(x) = \frac{1}{\pi} \frac{\sin\nu x}{x}\quad\hbox{with}\quad \int_{-\infty}^{\infty} F_\nu(x)\mathrm{d}x = \frac{2\sin \nu x}{x},

+ (\hat{n} \times \vec{r}\,) \sin\varphi . \vec{r}_\perp \mapsto \vec{r}\,'_\perp = \cos\varphi\;\vec{r}_\perp + \sin\varphi\;(\hat{n}\times\vec{r}\,).

\sin kx , \quad \cos kx \quad \hbox{and}\quad \cos \omega t,\quad \sin \omega t. ...cludes a cosine type solution, so that the spatial equation is of the form sin''kx''. If the string has length ''L'' and its end is also clamped, it follo

...\pi x/T)</math> and so on separately, it is sufficient to have function [[sin]]. In the similar way, it is sufficient to describe the discrete implementa

\dot{x}(t) = - A\omega\sin\omega t x(t) = A\cos\omega t\quad \hbox{and}\quad \dot{x}(t) = -A\omega \sin\omega t

...en by <math>\cos \theta \,</math>, the ''y''-coordinate is given by <math>\sin \theta \,</math> and the gradient of the radius from the centre (0,0) to th

...other Islamic prophets), without material possessions, and abstaining from sin.<ref name=Jesus_abstained_from_sin>III&E, [http://www.islam.tc/alhilaal/sit ...[Damascus]], presently in [[Syria]], once the world has become filled with sin, deception, and injustice; he will then live out the rest of his natural li

...entional Cartesian coordinates by <math>x=r\cos\theta</math> and <math>y=r\sin\theta</math>. In polar coordinates, Laplace's equation is: ...}\frac{\partial \phi}{\partial \theta} = - U\left(1+\frac{R^2}{r^2}\right)\sin\theta</math>

They are [[inverse function]]s of [[Sin]], [[Cos]], [[Tan]] and [[Cot]]

...float: left; margin-left: 50px;"><math> y(a)\cos \alpha - p(a)y^\prime (a)\sin \alpha = 0,</math></div> ..."float: left; margin-left: 50px;"><math> y(b)\cos \beta - p(b)y^\prime (b)\sin \beta = 0,</math></div>

:<math>b \sin \theta = n \lambda \!</math> :<math>I = I_0 \frac{\sin^2 \beta}{\beta^2}, \qquad \beta = \frac{b \pi \sin \theta}{\lambda} </math>

| sin | <math>\sin \theta = \cos \left(\frac{\pi}{2} - \theta \right) \,</math>

|<math>\sin(x)</math> |<math>\textstyle \int_0^x \frac{\sin t}{t} \, dt</math>