Inverse Trigonometric Function — NDA Previous Year Questions

22 solved PYQs · 2021–2025 · Mathematics

Solved PYQs: 22
Years covered: 2021–2025
Avg / year: ~4
Subject: Mathematics

How many NDA questions come from Inverse Trigonometric Function?

Inverse Trigonometric Function has contributed 22 questions to National Defence Academy Examination papers between 2021 and 2025 — an average of about 4 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 22 questions carries a written, step-by-step solution, and each is tagged to Inverse Trigonometric Function 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 Inverse Trigonometric Function questions from real NDA papers

These are 5 real questions from the bank — exactly as asked, with the answer one tap away. All 22 Inverse Trigonometric Function questions (with full written solutions) are available in practice.

Question 1 · NDA 2024
If 4 sin-1 x + cos-1 x = π, then what is sin-1 x + 4 cos-1 x equal to?
1. (A) $π/2$
2. (B) $π$
3. (C) $3π/2$
4. (D) $2π$
Show answerAnswer
$Answer: (C) 3π/2$
Question 2 · NDA 2025
If tan−1k+tan−1 $\frac{1}{2}$ = $\frac{π}{2} $ , then what is the value of k?
1. (A) $1$
2. (B) $1/2$
3. (C) $1/3$
4. (D) $1/4$
Show answerAnswer
$Answer: (C) 1/3$
Question 3 · NDA 2025
$I f k i s a r oo t o f x^{2} - 4 x + 1 = 0, t h e n w ha t i s t a n^{- 1} k + t a n^{- 1} \frac{1}{k} e q u a l t o ?$
1. (A) $-π/2$
2. (B) $0$
3. (C) $π/4$
4. (D) $π/2$
Show answerAnswer
$Answer: (D) π/2$
Question 4 · NDA 2025
What is $cot^{- 1} 9 + cosec^{- 1} (\frac{41}{4})$

equal to?
1. (A) $\frac{π}{4}$
2. (B) $\frac{π}{3}$
3. (C) $\frac{π}{2}$
4. (D) $π$
Show answerAnswer
$Answer: (A) \frac{π}{4}$
Question 5 · NDA 2025
What is the value of $tan [\frac{1}{2} sec^{- 1} (\frac{2}{3})] ?$
1. (A) $2 - 3$
2. (B) $2 + 3$
3. (C) $3 - 1$
4. (D) $3 + 1$
Show answerAnswer
$Answer: (A) 2 - 3$

Inverse Trigonometric Function questions by year

Year	Questions	Share of chapter questions
2025	6
2024	5
2023	3
2022	3
2021	5

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FAQs

How many NDA questions have been asked from Inverse Trigonometric Function?

EByAi's bank holds 22 real NDA questions from Inverse Trigonometric Function, asked between 2021 and 2025 — about 4 per year on average. Every count is measured from actual papers, not estimated.

Is Inverse Trigonometric Function important for NDA?

22 questions over 5 papers make Inverse Trigonometric Function a steady-weightage chapter in NDA Mathematics. The year-wise table above shows exactly how often it appears.

Can I solve Inverse Trigonometric Function PYQs online for free?

Yes. EByAi lets you solve NDA past-year questions in the browser with written solutions — free daily practice, no card needed.

More NDA Mathematics chapters

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