Question

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If sin theta + cos theta root 2 cos theta find value of tan theta

Answer 1

Answer:

$\sin( \alpha ) + \cos( \alpha ) = \sqrt{2} \cos( \alpha ) \\ \\ divided \: \: by \: \: \: \cos( \alpha ) .... \\ \\ \\ \tan( \alpha ) + 1 = \sqrt{2} \\ \\ \tan( \alpha ) = \sqrt{2} - 1$