If sin theta + cos theta = sqrt 2 cos alpha , | vedclass

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Question

(b) $\sin 	heta + \cos 	heta = \sqrt 2 \cos \alpha$

$\Rightarrow \cos \left( {	heta - \frac{\pi }{4}} ight) = \cos \alpha $

$ \Rightarrow $

Vedclass · Accepted Answer

$2n\pi + \frac{\pi }{4} \pm \alpha $

Vedclass · Answer

(b) $\sin 	heta + \cos 	heta = \sqrt 2 \cos \alpha$

$\Rightarrow \cos \left( {	heta - \frac{\pi }{4}} ight) = \cos \alpha $

$ \Rightarrow $ $	heta - \frac{\pi }{4} = 2n\pi \pm \alpha $

$\Rightarrow 	heta = 2n\pi + \frac{\pi }{4} \pm \alpha $.

If $\sin \theta + \cos \theta = \sqrt 2 \cos \alpha $, then the general value of $\theta $ is

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