If sin θ + cos θ = √2 cos θ, then the value of tan θ is:
Correct: A
Given sin θ + cos θ = √2 cos θ.
Divide the entire equation by cos θ (assuming cos θ ≠ 0):
(sin θ / cos θ) + (cos θ / cos θ) = (√2 cos θ / cos θ)
tan θ + 1 = √2
Subtract 1 from both sides:
tan θ = √2 - 1.