Question

if costheta + root 3 sintheta =root 2 then theta=

Answer 1

Hi...☺

Here is your answer...✌
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$\cos \theta + \sqrt{3} \sin\theta = \sqrt{2} \\ \\Dividing \: both \: sides \: by \: 2 \\ We \: get, \\ \\ \frac{1}{2} \cos\theta + \frac{ \sqrt{3} }{2} \sin \theta = \frac{ \sqrt{2} }{2} \\ \\ \cos \frac{\pi}{3} . \cos \theta + \sin \frac{\pi}{3} . \sin \theta = \frac{1}{ \sqrt{2} } \\ \\ \cos( \frac{\pi}{3} - \theta ) = \cos( \frac{\pi}{4} ) \\ \\ = > \frac{\pi}{3} - \theta = \frac{\pi}{4} \\ \\ \theta = \frac{\pi}{3} - \frac{\pi}{4} \\ \\ \theta = \frac{\pi}{12}$

Answer 2

<<<<<Answer is π/12>>>>>