JEE Advanced Inverse Trigonometric Functions — previous year questions
14 questions from 2026, 2025, 2024, 2023, 2022, 2021, 2019, 2018, 2015, 2013, 2008.
- Considering only the principal values of the inverse trigonometric functions, the value of cot⁻¹(cot(-11)) +…
- The total number of real solutions of the equation θ = tan⁻¹(2tanθ) - 1/2sin⁻¹(6tanθ/(9+tan²θ)) is (Here, the…
- Considering only the principal values of the inverse trigonometric functions, the value of…
- Let tan⁻¹(x) ∈ (-π/2, π/2), for x ∈ R. Then the number of real solutions of the equation √(1+cos(2x)) =…
- For any y ∈ R, let cot⁻¹(y) ∈ (0, π) and tan⁻¹(y) ∈ (-π/2, π/2). Then the sum of all solutions of the…
- Considering only the principal values of the inverse trigonometric functions, the value of…
- For any positive integer n, let Sₙ:(0,∞)→R be defined by Sₙ(x)=∑ₖ₌₁ⁿcot⁻¹((1+k(k+1)x²)/x) where for any x∈R,…
- The value of sec⁻¹(1/4∑ₖ₌₀¹⁰sec(7π/12+kπ/2)sec(7π/12+((k+1)π)/2)) in the interval [-π/4, 3π/4] equals ______.
- For non-negative integers n, let f(n) = (∑ₖ₌₀ⁿsin((k+1)/(n+2)π)sin((k+2)/(n+2)π))/(∑ₖ₌₀ⁿsin²((k+1)/(n+2)π))…
- The number of real solutions of the equation sin⁻¹(∑ᵢ₌₁^∞ xⁱ⁺¹ - x∑ᵢ₌₁^∞(x/2)ⁱ) = π/2 - cos⁻¹(∑ᵢ₌₁^∞(-x/2)ⁱ -…
- If α = 3sin⁻¹(6/11) and β = 3cos⁻¹(4/9), where the inverse trigonometric functions take only the principal…
- Match List I with List II and select the correct answer using the code given below the lists : | List-I |…
- The value of cot(∑ₙ₌₁²³cot⁻¹(1+∑ₖ₌₁ⁿ2k)) is
- If 0<x<1, then √(1+x²)[{xcos(cot⁻¹x)+sin(cot⁻¹x)}²-1]^(1/2)=