Let f x = m a x tan ⁡ x , cot ⁡ x . Then the number of roots of the equation f x = 1 2 in 0,2 π is

Step-by-step solution

From the graph of tan x and cot x , we see that the range of f x is - 1,0 ∪ 1 , ∞ . Hence, f x = m a x   tan ⁡ x ,   cot ⁡ x and g x = 1 2 do not cut each other ⇒ The number of solutions is zero.