If sin θ + cos θ = √2 cos (90 - θ), then cot θ is
cos (90 - θ) = √2 sin θ
sin θ + cos θ =√2 sin θ
Dividing the expression by sin θ
1 + cot θ = √2
cot θ = √2 - 1
Hence Option D is the correct answer.
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