If (tan θ + cot θ) = 5 then (tan2 θ + cot2 θ) = ?
Given: tan θ + cot θ = 5
Squaring both sides, we get:
tan2 θ + cot2 θ + 2 tan θ cot θ = 25
tan2 θ + cot2 θ = 25 – 2 tan θ cot θ
= 25 – 2
= 23