4 waves $\;x_{1}=4 \sin5t\;, x_{2}= 8 \sin 5t\;, x_{3}=\cos 5t \;and\;x_{4}=4 \cos 5t \;$ interfere and if the final equation can be written in the form of $\;A \sin (5t+\sin^{-1}(\large\frac{B}{c}))\;$ , what is the sum of $\;A+B+C$ ?

Question

$(a)\;31\qquad(b)\;25\qquad(c)\;30\qquad(d)\;26$