Q87.For n ∈N , if cot−1 3 + cot−1 4 + cot−1 5 + cot−1 n = π4 , then n is equal to_____ ∫1 (1−x7)kdx 0
What This Question Tests
This question tests the application of the sum formula for inverse cotangent functions repeatedly and then solving the resulting equation to find the value of n.
Concepts Tested
Formulas Used
cot⁻¹x + cot⁻¹y = cot⁻¹((xy-1)/(x+y)) for xy > 1
cot⁻¹x = tan⁻¹(1/x)
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📋 Question Details
- Chapter
- Inverse Trigonometric Functions
- Topic
- Sum of inverse cotangent functions
- Year
- 2024
- Shift
- 06 Apr Shift 1
- Q Number
- Q87
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 2: Inverse Trigonometric Functions
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