Formula:KLS:01.14:11

<< Formula:KLS:01.14:10

formula in Some q-analogues of special functions

Formula:KLS:01.14:12 >>

${\displaystyle{\displaystyle{\displaystyle\mathrm{sin}_{q}\!\left(z\right)\mathrm{Cos}_{q}\!\left(z\right)-\mathrm{cos}_{q}\!\left(z\right)\mathrm{Sin}_{q}\!\left(z\right)=0}}}$

Proof

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Symbols List

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

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<< Formula:KLS:01.14:10

formula in Some q-analogues of special functions

Formula:KLS:01.14:12 >>