If sin θ + cos θ = √3, then the value of tan θ + cot θ is:

Correct option is C

sin θ + cos θ = √3

Formula used:
(sin θ + cos θ)² = sin²θ + cos²θ + 2sinθcosθ

and sin²θ + cos²θ = 1

Solution:
(sin θ + cos θ)² = (√3)²
=> 1 + 2sinθ.cosθ = 3
=> 2sinθ.cosθ = 2
=> sinθ.cosθ = 1

Now,
tan θ + cot θ = (sin²θ + cos²θ) / (sinθ.cosθ)
=> tan θ + cot θ = 1 / 1
=> tan θ + cot θ = 1

Correct answer is (c) 1