Question

sin theta + cos theta is equal to root 2 cos theta then tan theta is equal to​

Answer 1

Answer:

since,sin theta +cos theta =√2 cos theta

sin theta /cos theta +cos theta/cos theta =√2

tan theta +1 =√2

tan theta =√2 -1

Answer 2

Answer:

tan θ =$\sqrt{2} - 1$

Step-by-step explanation:

Given:

  Sinθ + cosθ = $\sqrt{2}$ cosθ

now,

divide both the side by cosθ

$\frac{sinθ}{cosθ} +  \frac{cos θ}{cos θ}$ = $\sqrt{2}  \frac{cos θ}{cos θ}$

tanθ +1 = $\sqrt{2}$

finally,

tan θ = $\sqrt{2} - 1$