Find the values of a and b so that the function f(x) defined by f(x)=x+a2 sin x; if x<02x cot x + b ; if x=0a cos 2x - b sin becomes continuous on [0, π].

Find the values of a and b so that the function f(x) defined by $f (x) = \{\begin{matrix} x + a \sqrt{2} \sin x; i f x < 0 \\ 2 x c o t x + b; i f x = 0 \\ a \cos 2 x - b \sin becomes continuous on [0, π].Matching exerciseMatch the items on the right to the items on the left.CheckOKStep 1Step 2Step 3Step 4Step 5Step 6Step 7Step 8Step 9 \end{matrix}$