$\left(x\sin \theta +y \cos \theta, -x \sin \theta +y \cos \theta \right)$

$\left(x\cos \theta +y \sin \theta, -x \sin \theta +y \cos \theta \right)$

$\left(x\sin \theta +y \sin \theta, -x \cos \theta +y \cos \theta \right)$

$\left(x\cos \theta +y \cos \theta, -x \sin \theta +y \sin \theta \right)$