JEE Advanced Trigonometric Functions — previous year questions
28 questions from 2026, 2025, 2024, 2022, 2020, 2019, 2018, 2017, 2016, 2015, 2014, 2013, 2012, 2011, 2010, 2009, 2007.
- Let α = (1 - 2cos(π/11))(1 - 2cos(3π/11))(1 - 2cos(9π/11))(1 - 2cos(27π/11))(1 - 2cos(81π/11)). Then the…
- Match the number of elements in List-I with the values in List-II. List-I: (P) The number of elements in the…
- Let α = 1/(sin60° sin61°) + 1/(sin62° sin63°) + … + 1/(sin118° sin119°). Then the value of (cosec 1°/α)² is…
- Let f : R → R be a function defined by f(x) = x² sin(π/x²), if x ≠ 0 0, if x = 0 Then which of the following…
- Let π/2 < x < π be such that cot x = (-5)/√(11). Then (sin11x/2)(sin 6x - cos 6x) + (cos11x/2)(sin 6x + cos…
- Let α and β be real numbers such that -π/4 < β < 0 < α < π/4. If sin (α + β) = 1/3 and cos (α - β) = 2/3,…
- Consider the following lists: List-I: (I) x in [-2u03C0/3, 2u03C0/3] : cos x + sin x = 1 , (II) x in…
- Let f : [0, 2] → R be the function defined by f(x) = (3 - sin(2π x))sin(π x - π/4) - sin(3π x + π/4). If α, β…
- Let f(x) = sin(π cos x) and g(x) = cos(2π sin x) be two functions defined for x > 0. Define the following…
- Let f(x) = sin(π cos x) and g(x) = cos(2π sin x) be two functions defined for x > 0. Define the following…
- Let a, b, c be three non-zero real numbers such that the equation √3acos x + 2bsin x = c, x ∈ [-π/2, π/2],…
- Let α and β be non-zero real numbers such that 2(cosβ - cosα) + cosα cosβ = 1. Then which of the following…
- The value of ∑ₖ₌₁¹³ 1/(sin(π/4 + ((k-1)π)/6)sin(π/4 + kπ/6)) is equal to
- Let S = {x ∈ (-π, π) : x ≠ 0, ± π/2}. The sum of all distinct solutions of the equation √3 sec x + cosec x +…
- Two parallel chords of a circle of radius 2 are at a distance √3 + 1 apart. If the chords subtend at the…
- The number of values of θ in the interval, (-π/2, π/2) such that θ ≠ nπ/5 for n = 0, ± 1, ± 2 and tan θ = cot…
- The number of all possible values of θ where 0 < θ < π, for which the system of equations (y + z)cos 3θ =…
- The number of distinct solutions of the equation 5/4cos² 2x + cos⁴ x + sin⁴ x + cos⁶ x + sin⁶ x = 2 in the…
- For x ∈ (0, π), the equation sin x + 2sin 2x - sin 3x = 3 has
- The expression (tan A)/(1-cot A) + (cot A)/(1-tan A) can be written as :
- Let f(x) = x sin π x, x > 0. Then for all natural numbers n, f'(x) vanishes at
- The number of points in (-∞, ∞), for which x² - x sin x - cos x = 0, is
- Let θ, φ ∈ [0, 2π] be such that 2cosθ (1 - sinφ) = sin²θ (tanθ/2 + cotθ/2)cosφ - 1, tan(2π - θ) > 0 and -1 <…
- Two parallel chords of a circle of radius 2 are at a distance √3+1 apart. If the chords subtend at the…
- The maximum value of the expression 1/(sin²θ + 3sinθcosθ + 5cos²θ) is ______.
- If (sin⁴ x)/2 + (cos⁴ x)/3 = 1/5, then
- For 0<θ<π/2, the solution (s) of ∑ₘ₌₁⁶cosec(θ+((m-1)π)/4)cosec(θ+mπ/4)=4√2 is (are)
- The number of solutions of the pair of equations 2sin²θ - cos 2θ = 0, 2cos²θ - 3sinθ = 0 in the interval [0,…