NDA · Mathematics · UPSC · 2025

Inverse Trigonometric Functions — NDA Mathematics PYQs

5 questions from this chapter, asked in 1 NDA exams between 2025.

5questions

1NDA exams

2025years covered

Questions asked per year

20255 Qs

Practice questions first 5 of 5 — free

Q1MCQ2025

Answer Logic

If $k$ is a root of $x^{2} - 4 x + 1 = 0$ , then what is $tan^{- 1} k + tan^{- 1} (\frac{1}{k})$ equal to?

(A)

- \frac{π}{2}

(B)

0

(C)

\frac{π}{4}

(D)

\frac{π}{2}

Q2MCQ2025

Answer Logic

If $tan^{- 1} k + tan^{- 1} (\frac{1}{2}) = \frac{π}{4}$ , then what is the value of $k$ ?

(A)

1

(B)

\frac{1}{2}

(C)

\frac{1}{3}

(D)

\frac{1}{4}

Q3MCQ2025

Answer Logic

Consider the following for the two (02) items that follow :
Let $y = sin^{- 1} (x - \frac{4 x ^{3}}{27})$ .

What is $y$ equal to?

(A)

sin^{- 1} x

(B)

sin^{- 1} (\frac{x}{3})

(C)

3 sin^{- 1} x

(D)

3 sin^{- 1} (\frac{x}{3})

Q4MCQ2025

Answer Logic

What is $cot^{- 1} 9 + csc^{- 1} \frac{41}{4}$ equal to?

(A)

\frac{π}{4}

(B)

\frac{π}{3}

(C)

\frac{π}{2}

(D)

π

Q5MCQ2025

Answer Logic

What is the value of $tan [\frac{1}{2} sec^{- 1} (\frac{2}{3})]$ ?

(A)

2 - 3

(B)

2 + 3

(C)

3 - 1

(D)

3 + 1

Why practise Inverse Trigonometric Functions PYQs?

Inverse Trigonometric Functions has appeared in the 1 NDA Mathematics exam we track between 2025. UPSC examiners consistently reuse concepts and question patterns from this topic — practising its previous year questions is the most reliable way to know exactly what to expect in your exam.

Inverse Trigonometric Functions — NDA Mathematics PYQs

Questions asked per year

Practice questions first 5 of 5 — free

Why practise Inverse Trigonometric Functions PYQs?

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