NDA Trigonometric Functions and Identities questions with solutions
Ratios, identities and transformations. 49 questions from our 2016–2025 NDA pattern papers, from the Class 11 Mathematics syllabus. Each has the answer and a full solution.
NDA 2025
NDA 2024
- In surd form, cos 105^° equals
- If A,B are acute angles with sin A=3/5 and cos B=5/13, then sin (A+B) equals
- What is cos ^275^°-sin ^215^° equal to?
- The angle θ is in the fourth quadrant with cos θ=8/17. The value of cosecθ is
- Sin ^2θ+cos ^2θ=1 for all real θ. 2. sec ^2θ-tan ^2θ=1 for all real θ.
- If tan θ=5/12, with θ acute, then sin 2θ equals
NDA 2023
NDA 2022
NDA 2021
NDA 2020
NDA 2019
- The value of tan (π)/(8) is
- If sin θcos θ=1/4, then sin ^4θ+cos ^4θ equals
- If cot θ=5/12 and θ lies in the third quadrant, then sin θ equals
- The equation sin θ=cos θ has no solution with θ in the first quadrant. 2.
- If sin θ=1/3, then sin 3θ equals
- The value of cos (π)/(5)cos (2π)/(5) is
- If tan θ+cot θ=4, then sin 2θ equals
- The greatest value of cos θ-√3sin θ is
- The fundamental period of the function f(x)=cos 3x/2 is
NDA 2018
NDA 2017
- The value of sin 10^°sin 30^°sin 50^°sin 70^° is
- The value of cos (π)/(7)cos (2π)/(7)cos (4π)/(7) is
- The value of cos ^210^°+cos ^250^°+cos ^270^° is
- For real θ with sin θ≠0, the minimum value of 2sin ^2θ+3csc ^2θ is
- The value of tan 9^°-tan 27^°-tan 63^°+tan 81^° is
- Tan x is defined for all real x. 2. The range of sin x is the open interval (-1,1).
NDA 2016
- The value of sin ^225^°+sin ^265^° is
- The expression (1-cos 2θ)/(sin 2θ) is equal to
- For all real θ for which the expressions are defined, consider the following statements: 1. sec ^2θ+cosec^2θ=sec ^2thetacosec^2θ. 2. sin ^4θ-cos…
- The value of sin 105^°+cos 105^° is
- The value of tan 20^°+tan 40^°+√3tan 20^°tan 40^° is
- If sec θ+tan θ=2 and θ is acute, then sin θ is equal to
- If tan θ=1/3, then cos 2θ is equal to
- The value of sin (-765^°) is
- The least value of 4sin ^2θ+9cos ^2θ is
Other Mathematics topics
Three Dimensional Geometry 48Vector Algebra 60Complex Numbers and Quadratic Equations 35Binomial Theorem 16Sequences and Series 36Quadratic Equations 27Permutations and Combinations 25Statistics 35Probability 27Matrices 37Determinants 13Sets, Relations and Functions 39Binary Number System 11Logarithms 11Inverse Trigonometric Functions 22Trigonometric Equations 16Properties of Triangles 18Heights and Distances 12Straight Lines 43Circles 21Conic Sections 28Limits 23Continuity and Differentiability 16Application of Derivatives 34Derivatives 33Integrals 16Definite Integrals 23Application of Integrals 12Differential Equations 30