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Inverse Trigonometric Functions question

2024 · 6 Apr · Shift 1 · Q57

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JEE Main
Mathematics
Inverse Trigonometric Functions
2024 · 6 Apr · Shift 1 · Q57

Inverse Trigonometric Functions question

2024 · 6 Apr · Shift 1 · Q57

JEE MainMathematicsInverse Trigonometric FunctionsNumerical+4 / −1

For

n \in \mathrm{N}

, if

\cot ^{-1} 3+\cot ^{-1} 4+\cot ^{-1} 5+\cot ^{-1} n=\frac{\pi}{4}

, then

n

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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