If f(x)=tanπ4-xcot 2x for x≠π4 find the value which can be assigned to f(x) at x = π/4 so that the function f(x) becomes continuous every where in [0, π/2].

If $f (x) = \frac{\tan (\frac{π}{4} - x)}{c o t 2 x}$ for $x \neq \frac{π}{4}$ find the value which can be assigned to f(x) at x = π/4 so that the function f(x) becomes continuous every where in [0, π/2].

Match the items on the right to the items on the left.