If the middle term of 1x+xsin x10 is equal to 778, then the value of x is

n = 10(even) Middle term =102+1=5+1=6T6=778⇒T5+1=638⇒10c51x10-5(xsinx)5=638⇒252.1x5x5.sin5x=638⇒4sin5x=18⇒sin x=12∴x=nπ+(−1)nπ6,n∈Z