2 tan -1 (1/3) +cot -1 4 = tan -1 (16/13) Share with your friends Share 4 Manbar Singh answered this LHS = 2 tan-113 + cot-14=tan-12 × 131 - 19 + tan-114 as, 2 tan-1x = tan-12x1 - x2cot-1x = tan-11x= tan-12/38/9 + tan-114= tan-134 + tan-114= tan-134 + 141 - 34 × 14 as, tan-1x + tan-1y =tan-1x+y1-xy= tan-14/41 - 316= tan-1113/16= tan-11613 = RHS 3 View Full Answer Aman Bakshi answered this 2tan inv 1/3 is tan inv 3/4 and cot inv 4 =tan inv 1/4therefore, tan inv 3/4 +tan inv 1/4=tan inv 16/13.... Proved!Hope this helps, if there is any doubt feel free to ask!! -2
