Explanation

Let's simplify the expression:

tanθ + cotθ

= sinθ/cosθ + cosθ/sinθ

= (sin²θ + cos²θ) / (sinθcosθ)

Since sin²θ + cos²θ = 1:

= 1 / (sinθcosθ)

= 1/sinθ * 1/cosθ

= cosecθ * secθ

= secθcosecθ