Question

If sin +cos = √2 cos ( ≠ 90) then the value of tan is ____.​

Answer 1

answe is in attachment

hope it helps to you

Answer 2

I take theta as x.

➪$= > \: \sin(x) + \cos(x) = \sqrt{2} \sin(90 - \color{purple}x)=>sin(x)$

➪$= > \: \sin(x) + \cos(x) = \sqrt{2} \cos(x)=>sin(x)$

➪$= > \: \sin(x) = \sqrt{2} \cos(x) - \cos(x)$

➪$= > \: \sin(x) = ( \sqrt{2} - 1) \cos(x)=>sin(x)$

$➪= > \: \frac{ \sin(x) }{ \cos(x) } = \sqrt{2} - 1$

$➪= > \: \tan(x) = \sqrt{2} - 1=>tan(x)$