If cos theta - sin theta = sqrt 2 sin theta , | vedclass

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Question

(a) We have $\cos 	heta - \sin 	heta = \sqrt 2 \,\sin 	heta $

$ \Rightarrow \,\cos 	heta = (\sqrt 2 + 1)\,\sin 	heta \, $

$\Rightarrow \,(\

Vedclass · Accepted Answer

$\sqrt 2 \cos 	heta $

Vedclass · Answer

(a) We have $\cos 	heta - \sin 	heta = \sqrt 2 \,\sin 	heta $

$ \Rightarrow \,\cos 	heta = (\sqrt 2 + 1)\,\sin 	heta \, $

$\Rightarrow \,(\sqrt 2 - 1)\cos 	heta = \sin 	heta $

$ \Rightarrow \,\sqrt 2 \,\cos 	heta - \cos 	heta = \sin 	heta $

$\Rightarrow \,\sin 	heta + \cos 	heta = \sqrt 2 \,\cos 	heta .$

If $\cos \theta - \sin \theta = \sqrt 2 \sin \theta ,$ then $\cos \theta + \sin \theta $ is equal to

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