If θ is an acute angle and tan θ + cot θ = 2, then the value of tan200θ + cot200θ is :

1 2 -1 0

2

Given :- tan θ + cot θ = 2 put θ = 45° tan 45° + cot 45°= 1 + 1 = 2 Now , tan200 θ + cot200 θ = tan200 45° + cot200 45° = 1 + 1 = 2