Question

if sin theta + cos theta = sqrt(2) cos( theta not equal 90°) theta they then find the value of tan theta​

Answer 1

Step-by-step explanation:

$sin \: x + cos \: x = \sqrt{2} cos \: x \\ sin \: x = \sqrt{2} cos \: x - cos \: x \\ sin \: x = cos \: x( \sqrt{2} - 1) \\ \frac{sin \: x}{cos \: x} = 0.414 \\ tan \: x = 0.414$