Mathematics - Trigonometric Equations
Practise 25 JEE Advanced previous year questions on Trigonometric Equations, compiled from papers spanning 2006 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty JEE Advanced tests.
Trigonometric Equations has been asked in 16 of the 27 years of JEE Advanced papers analysed (2000–2026), with 25 questions in all. 36% of them were easy, 40% moderate and 24% tough. Most of its questions came from 2011, with 3 questions that year. In the last three years (2024–2026) it had 4 questions across 6 papers, about 0.7 per paper.
The chapter's 3 topics are not weighted equally: Solving Trigonometric Equation (17 questions, 68%), Solving Trigonometric Inequalities (4 questions, 16%), and Basic (4 questions, 16%) have been asked the most. Solving Trigonometric Equation has also led over the last five years, with 6 questions. Solving Trigonometric Equation has produced the most tough questions (3).
- 1Match each entry in List-I to the correct entry in List-II and choose the correct option. List-I List-II (P) The number of elements in the s2026 (Paper 1)Solving Trigonometric Equation
- 2Passage: Consider the curve given by for , and the curve given by for . Let be the total number of points of intersection of the curves and 2026 (Paper 2)Solving Trigonometric Equation
- 3Let be such that . Then is equal to2024 (Paper 1)Solving Trigonometric Equation
- 4Let be a function defined by Then which of the following statements is TRUE?2024 (Paper 2)Basic
- 5Let tan - 1 x - 2 , 2 , for x . Then the number of real solutions of the equation 1 + cos 2 x = 2 tan - 1 tan x in the set - 3 2 , - 2 - 2 ,2023 (Paper 1)Solving Trigonometric Equation
- 6For any y , let cot - 1 y 0 , and tan - 1 y - 2 , 2 . Then the sum of all the solutions of the equation tan - 1 6 y 9 - y 2 + cot - 1 9 - y 2023 (Paper 2)Solving Trigonometric Equation
- 7Let M denote the determinant of a square matrix M . Let g : 0 , 2 be the function defined by g = f - 1 + f 2 - - 1 where f = 1 2 1 sin 1 - s2022 (Paper 1)Solving Trigonometric Inequalities
- 8Consider the following lists: List- I List- II I x - 2 3 , 2 3 : cos x + sin x = 1 P has two elements II x - 5 18 , 5 18 : 3 tan 3 x = 1 Q h2022 (Paper 1)Solving Trigonometric Equation
- 9Let f : 0 , 2 be the function defined by f x = 3 sin 2 x sin x 4 sin 3 x + 4 . If , 0 , 2 are such that x 0 , 2 : f x 0 = , , then the value2020 (Paper 1)Solving Trigonometric Inequalities
- 10Let f x = sin cos x and g x = cos 2 sin x be two functions defined for x 0 . Define the following sets whose elements are written in the inc2019 (Paper 2)Basic
- 11Let f x = sin cos x and g x = cos 2 sin x be two functions defined for x 0 . Define the following sets whose elements are written in the inc2019 (Paper 2)Basic
- 12Let and be non zero real numbers such that 2 cos - cos + cos cos = 1 . Then which of the following is/are true?2017 (Paper 2)Solving Trigonometric Equation
- 13Let S = x - , : x 0 , 2 . The sum of all distinct solution of the equation 3 sec x + c o s e c x + 2 tan x - cot x = 0 , in the set S is equ2016 (Paper 1)Solving Trigonometric Equation
- 14The number of distinct solutions of the equation 5 4 cos 2 2 x + cos 4 x + sin 4 x + cos 6 x + sin 6 x = 2 in the interval [ 0 , 2 ] is2015 (Paper 1)Solving Trigonometric Equation
- 15For x 0 , , the equation sin x + 2 sin 2 x - sin 3 x = 3 has2014 (Paper 2)Solving Trigonometric Equation
- 16Let be such that and , then cannot satisfy2012 (Paper 1)Solving Trigonometric Inequalities
- 17Let and be two sets. Then,2011 (Paper 1)Solving Trigonometric Equation
- 18The positive integer value of satisfying the equation2011 (Paper 1)Solving Trigonometric Equation
- 19Let and for all . Then, the set of all satisfying fogogof , where is2011 (Paper 2)Basic
- 20The number of all possible values of , where , for which the system of equations and have a solution with , is2010 (Paper 1)Solving Trigonometric Equation
- 21The number of values of in the interval such that for and as well as is2010 (Paper 1)Solving Trigonometric Equation
- 22If , then2009 (Paper 1)Solving Trigonometric Equation
- 23For , the solution(s) of is/are2009 (Paper 2)Solving Trigonometric Equation
- 24The number of solutions of the pair of equations and in the interval is2007 (Paper 1)Solving Trigonometric Equation
- 25The set of values of satisfying the inequation , where , is2006Solving Trigonometric Inequalities
Frequently Asked Questions
1.How many questions are available for Trigonometric Equations?
This chapter includes 25 questions compiled from JEE Advanced papers spanning 2006 to 2026.
2.Are these questions only from JEE Advanced, or from other exams too?
These are JEE Advanced questions specifically for the Trigonometric Equations chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.
3.Is Trigonometric Equations an important chapter for JEE Advanced Mathematics?
Trigonometric Equations has appeared in 16 of the 21 years of JEE Advanced papers covered here, with 25 questions across 21 papers - about one per paper it appears in.
4.What is the difficulty level of Trigonometric Equations questions in JEE Advanced?
Of the 25 questions analysed for this chapter, 36% are easy, 40% moderate and 24% tough. 2011 had the most, with 3 questions.
5.Which topics in Trigonometric Equations should I focus on?
These topics have carried the most weightage in Trigonometric Equations:
- Solving Trigonometric Equation - 17 questions (68%)
- Solving Trigonometric Inequalities - 4 questions (16%)
- Basic - 4 questions (16%)
- Solving Trigonometric Equation has produced the most tough questions (3).
6.Is Trigonometric Equations's weightage in JEE Advanced going up or down?
Across all 21 papers analysed, Trigonometric Equations has averaged about 1.2 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.7 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.