Trigonometric Equations

34 NDA Mathematics previous year questions (PYQs) from 17 papers, 2018 to 2026, with answers and worked solutions.

About this chapter

Difficulty: 5 easy · 18 moderate · 11 hard.
Most-asked subtopics: General Solutions and Counting Solutions of Trigonometric Equations (14), Solving Specific Forms — Double-Angle, Product, Logarithmic, and Vieta (13), Simultaneous and Combined Trigonometric Systems (7).
Updated 14 September 2026.

Filter all 34 in the question bank NDA Maths strategy Take the Trigonometric Equations chapter test

NDA · Sep 2026 · Q12Moderate
#1General Solutions and Counting Solutions of Trigonometric Equations
Strategy Concept notes
NDA · Sep 2018 · Q40Hard
#2General Solutions and Counting Solutions of Trigonometric Equations
Strategy Concept notes
NDA · Sep 2018 · Q42Hard
#3General Solutions and Counting Solutions of Trigonometric Equations
Strategy Concept notes
NDA · Apr 2019 · Q45Moderate
#4General Solutions and Counting Solutions of Trigonometric Equations
Strategy Concept notes
NDA · Apr 2021 · Q6Moderate
#5General Solutions and Counting Solutions of Trigonometric Equations
Strategy Concept notes
Done a few? Here’s your next move
- Take the 10-question chapter test
- Filter all 34 by year or level
NDA · Sep 2022 · Q55Moderate
#6General Solutions and Counting Solutions of Trigonometric Equations
Strategy Concept notes
Set · 2 questions
For the following two (02) items: Let $\cos(2x+3y)=\frac{1}{2}$ and $\cos(3x+2y)=\frac{\sqrt{3}}{2}$ , where $-\pi<(2x+3y)<\pi$ and $-\pi<(3x+2y)<\pi$ .
- NDA · Sep 2025 · Q29Hard
  #7General Solutions and Counting Solutions of Trigonometric Equations
  Strategy Concept notes
- NDA · Sep 2025 · Q30Hard
  #8General Solutions and Counting Solutions of Trigonometric Equations
  Strategy Concept notes
NDA · Sep 2025 · Q49Moderate
#9General Solutions and Counting Solutions of Trigonometric Equations
Strategy Concept notes
NDA · Sep 2023 · Q29Hard
#10General Solutions and Counting Solutions of Trigonometric Equations
Strategy Concept notes
NDA · Apr 2024 · Q40Moderate
#11General Solutions and Counting Solutions of Trigonometric Equations
Strategy Concept notes
NDA · Sep 2024 · Q26Moderate
#12General Solutions and Counting Solutions of Trigonometric Equations
Strategy Concept notes
NDA · Sep 2024 · Q27Moderate
#13General Solutions and Counting Solutions of Trigonometric Equations
Strategy Concept notes
Set · 1 question
Let $2\sin\alpha + \cos\alpha = 2$ , where $0 < \alpha < 90°$ .
- NDA · Apr 2025 · Q44Hard
  #14General Solutions and Counting Solutions of Trigonometric Equations
  Strategy Concept notes
NDA · Apr 2018 · Q41Hard
#15Solving Specific Forms — Double-Angle, Product, Logarithmic, and Vieta
Strategy Concept notes
NDA · Sep 2018 · Q44Moderate
#16Solving Specific Forms — Double-Angle, Product, Logarithmic, and Vieta
Strategy Concept notes
NDA · Apr 2019 · Q46Moderate
#17Solving Specific Forms — Double-Angle, Product, Logarithmic, and Vieta
Strategy Concept notes
NDA · Apr 2020 · Q40Moderate
#18Solving Specific Forms — Double-Angle, Product, Logarithmic, and Vieta
Strategy Concept notes
NDA · Apr 2020 · Q43Moderate
#19Solving Specific Forms — Double-Angle, Product, Logarithmic, and Vieta
Strategy Concept notes
NDA · Apr 2021 · Q2Easy
#20Solving Specific Forms — Double-Angle, Product, Logarithmic, and Vieta
Strategy Concept notes
NDA · Sep 2021 · Q16Moderate
#21Solving Specific Forms — Double-Angle, Product, Logarithmic, and Vieta
Strategy Concept notes
NDA · Sep 2021 · Q32Easy
#22Solving Specific Forms — Double-Angle, Product, Logarithmic, and Vieta
Strategy Concept notes
NDA · Apr 2022 · Q29Hard
#23Solving Specific Forms — Double-Angle, Product, Logarithmic, and Vieta
Strategy Concept notes
NDA · Apr 2022 · Q30Moderate
#24Solving Specific Forms — Double-Angle, Product, Logarithmic, and Vieta
Strategy Concept notes
NDA · Apr 2022 · Q38Easy
#25Solving Specific Forms — Double-Angle, Product, Logarithmic, and Vieta
Strategy Concept notes
NDA · Apr 2022 · Q39Moderate
#26Solving Specific Forms — Double-Angle, Product, Logarithmic, and Vieta
Strategy Concept notes
NDA · Apr 2026 · Q38Moderate
#27Solving Specific Forms — Double-Angle, Product, Logarithmic, and Vieta
Strategy Concept notes
NDA · Apr 2018 · Q47Moderate
#28Simultaneous and Combined Trigonometric Systems
Strategy Concept notes
NDA · Sep 2019 · Q65Easy
#29Simultaneous and Combined Trigonometric Systems
Strategy Concept notes
NDA · Apr 2020 · Q24Hard
#30Simultaneous and Combined Trigonometric Systems
Strategy Concept notes
NDA · Sep 2021 · Q24Easy
#31Simultaneous and Combined Trigonometric Systems
Strategy Concept notes
Set · 2 questions
Consider the following for the next two (02) items that follow: Given that $\sin x+\cos x+\tan x+\cot x+\sec x+\cosec x=7$ .
- NDA · Apr 2023 · Q47Hard
  #32Simultaneous and Combined Trigonometric Systems
  Strategy Concept notes
- NDA · Apr 2023 · Q48Hard
  #33Simultaneous and Combined Trigonometric Systems
  Strategy Concept notes
NDA · Sep 2025 · Q47Moderate
#34Simultaneous and Combined Trigonometric Systems
Strategy Concept notes

Send them this chapter's questions. It's free for them too.

Trigonometric Equations

Studying this with friends?

More chapters in this subject