if 0<θ<π then which of the following options is correct?

a.1+cot θ ≤ cot θ/2 b. 1+cot ≥ cot θ/2

c. 1+cot θ/2 ≥cot θ d. 1+cot θ/2 ≤ cot θ

option a is correct...

option a satisfies any value of @ in bw 0 to pie ,and for @=pie/2 LHS becomes equal to RHS...

hence option a is correct...

option a is true.