Formula:KLS:01.14:10

<< Formula:KLS:01.14:09

formula in Some q-analogues of special functions

Formula:KLS:01.14:11 >>

${\displaystyle{\displaystyle{\displaystyle\mathrm{cos}_{q}\!\left(z\right)\mathrm{Cos}_{q}\!\left(z\right)+\mathrm{sin}_{q}\!\left(z\right)\mathrm{Sin}_{q}\!\left(z\right)=1}}}$

Proof

We ask users to provide proof(s), reference(s) to proof(s), or further clarification on the proof(s) in this space.

Symbols List

${\displaystyle{\displaystyle{\displaystyle\mathrm{cos}_{q}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-analogue of the cosine function ${\displaystyle{\displaystyle{\displaystyle\cos_{q}}}}$ used in KLS : http://drmf.wmflabs.org/wiki/Definition:qcosKLS
${\displaystyle{\displaystyle{\displaystyle\mathrm{Cos}_{q}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-analogue of the cosine function ${\displaystyle{\displaystyle{\displaystyle\mathrm{Cos}_{q}}}}$ used in KLS : http://drmf.wmflabs.org/wiki/Definition:qCosKLS
${\displaystyle{\displaystyle{\displaystyle\mathrm{sin}_{q}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-analogue of the sine function ${\displaystyle{\displaystyle{\displaystyle\sin_{q}}}}$ used in KLS : http://drmf.wmflabs.org/wiki/Definition:qsinKLS
${\displaystyle{\displaystyle{\displaystyle\mathrm{Sin}_{q}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-analogue of the sine function ${\displaystyle{\displaystyle{\displaystyle\mathrm{Sin}_{q}}}}$ used in KLS : http://drmf.wmflabs.org/wiki/Definition:qSinKLS

Bibliography

Equation in Section 1.14 of KLS.

URL links

We ask users to provide relevant URL links in this space.

<< Formula:KLS:01.14:09

formula in Some q-analogues of special functions

Formula:KLS:01.14:11 >>