JEE Main 20246 Apr, Morning shiftMathematicsMediumTrigonometry118× since 2002For n∈Nn \in \mathrm{N}n∈N, if cot−13+cot−14+cot−15+cot−1n=π4\cot ^{-1} 3+\cot ^{-1} 4+\cot ^{-1} 5+\cot ^{-1} n=\frac{\pi}{4}cot−13+cot−14+cot−15+cot−1n=4π, then nnn is equal to ________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
