Question

if sin theta + cos theta =√2coa theta then find tan theta​

Answer 1

$sin \theta + cos \theta = \sqrt{2} cos \theta \\ \\ \frac{sin \theta + cos \theta}{cos \theta} = \sqrt{2} \\ \\ tan \theta + 1 = \sqrt{2} \\ \\ tan \theta = \sqrt{2} - 1$