If tan θ + cot θ = 6, then find the value of $tan^2θ +cot^2θ$.

26 34 24 36

34

tan θ + cot θ = 6 On squaring both side ( tan θ + cot θ)² = 6² tan² θ + cot² θ + 2 tan θ . cot θ = 36 { tan θ = \(\frac{1 }{cot θ }\) } tan² θ + cot² θ + 2 = 36 tan² θ + cot² θ  = 34