Trigonometric Angles And Equations — NDA Previous Year Questions

How many NDA questions come from Trigonometric Angles And Equations?

Trigonometric Angles And Equations has contributed 93 questions to National Defence Academy Examination papers between 2021 and 2025 — an average of about 19 questions a year. That count is measured from EByAi’s bank of 15,695 NDA questions, not estimated from a syllabus. Every one of the 93 questions carries a written, step-by-step solution, and each is tagged to Trigonometric Angles And Equations within Mathematics, so you can drill this chapter across every year at once instead of hunting through paper PDFs. Practising a chapter’s full PYQ history is the fastest way to learn the patterns examiners reuse.

Sample Trigonometric Angles And Equations questions from real NDA papers

These are 5 real questions from the bank — exactly as asked, with the answer one tap away. All 93 Trigonometric Angles And Equations questions (with full written solutions) are available in practice.

1. Question 1 · NDA 2024

   What is the maximum value of a cos x + b sin x + c?
   1. (A)$\sqrt{{\mathrm{a}}^2+{\mathrm{b}}^2+\mathrm{c}}$
   2. (B)$\sqrt{{\mathrm{a}}^2+{\mathrm{b}}^2}+\mathrm{c}$
   3. (C)$\sqrt{{\mathrm{a}}^2+{\mathrm{b}}^2}-\mathrm{c}$
   4. (D)$\sqrt{{\mathrm{a}}^2+{\mathrm{b}}^2}$
   Show answerAnswer

   Answer: (B) $\sqrt{{\mathrm{a}}^2+{\mathrm{b}}^2}+\mathrm{c}$

2. Question 2 · NDA 2024

   What is the general solution of cos¹⁰⁰ x - sin¹⁰⁰ x = 1?
   1. (A)nπ
   2. (B)(2n + 1)π
   3. (C)2nπ
   4. (D)(2n + 1)π / 2
   Show answerAnswer

   Answer: (A) nπ

3. Question 3 · NDA 2024

   What is the number of solutions of the equation cot 2x cot 3x = 1 for 0 < x
   1. (A)Only one
   2. (B)Only two
   3. (C)Only five
   4. (D)More than five
   Show answerAnswer

   Answer: (C) Only five

4. Question 4 · NDA 2024

   If p tan (θ - 30°) = q tan (θ + 120°), then what is (p + q) / (p - q) equal to?
   1. (A)sin 2θ
   2. (B)cos 2θ
   3. (C)2 sin 2θ
   4. (D)2 cos 2θ
   Show answerAnswer

   Answer: (D) 2 cos 2θ

5. Question 5 · NDA 2024

   Consider the following numbers :
   
   I. tan 22.5°
   
   II. cot 22.5°
   
   III. tan 22.5° - cot 22.5°
   
   How many of the above are irrational numbers?
   1. (A)None
   2. (B)Only one
   3. (C)Only two
   4. (D)All three
   Show answerAnswer

   Answer: (C) Only two

Trigonometric Angles And Equations questions by year

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