NDA · Mathematics · UPSC · 2021

Trigonometry — NDA Mathematics PYQs

4 questions from this chapter, asked in 1 NDA exams between 2021.

4questions

1NDA exams

2021years covered

2mark values asked

Questions asked per year

20214 Qs

Practice questions

Q120212 marks

Answer Logic

If $sin (A + B) = 1$ and $2 sin (A - B) = 1$ , where $0 < A, B < \frac{π}{2}$ , then what is $tan A : tan B$ equal to?

Q220212 marks

Answer Logic

Let $sin x + sin y = cos x + cos y$ for all $x, y \in R$ . What is $tan (\frac{x}{2} + \frac{y}{2})$ equal to?

Q320212 marks

Answer Logic

Let $4 sin^{2} x = 3$ , where $0 \leq x \leq π$ . What is $tan 3 x$ equal to?

Q420212 marks

Answer Logic

Let the equation $sec x \cdot cosec x = p$ have a solution, where $p$ is a positive real number. What should be the smallest value of $p$ ?

Why practise Trigonometry PYQs?

Trigonometry has appeared in the 1 NDA Mathematics exam we track between 2021, with questions worth 2 marks. 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.

Questions asked per year

Practice questions

Why practise Trigonometry PYQs?

Other Mathematics topics

Basic Maths

Quadratic Equations

3-D Geometry

Trigonometric Functions

Application of Derivatives

Area Under the Curve

Properties of Triangle

Basics of Coordinate Geometry

Height and Distance

Binomial Theorem

Circles

Sequence and Series

Permutations and Combinations

Complex Number

Continuity and Differentiability

Definite Integration

Straight Lines

Determinants

Differential Equations

Indefinite Integration

Parabola and Ellipse

Hyperbola and Rectangular Hyperbola

Inverse Trigonometric Functions

Relation and Function

Limits

Logarithm

Matrices

Methods of Differentiation

Probability

Sets

Vector Algebra

Statistics

Binary Numbers

Algebra

Complex Numbers

Conic Sections

Differentiation

Functions

Logarithms

Properties of Triangles

Relations and Functions

Three Dimensional Geometry