If sin θ + cos θ = √2 cos θ, then

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If sin θ + cos θ = √2 cos θ, then the value of cot θ is

1. √2 + 1
2. √2 – 1
3. √3 – 1
4. √3 + 1

Correct Option: A

sinθ + cosθ =√2 cos θ
⇒ √2 cos θ - cos θ= sinθ
⇒ cosθ (√2 - 1) = sinθ

⇒	cosθ	=	1
	sinθ		√2 - 1

=	√2 + 1	= √2 + 1
	(√2 - 1)(√2 + 1)

cotθ = √2 + 1