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NDA Trigonometric Equations questions with solutions

General solutions of trigonometric equations. 16 questions from our 2016–2025 NDA pattern papers, from the Class 11 Mathematics syllabus. Each has the answer and a full solution.

NDA 2025

The number of values of θ in [0,2π) satisfying sin θ+cos θ=1 isNDA 2025 Maths · medium
The general solution of sin ^2x=1/4 is (where n is an integer)NDA 2025 Maths · medium

NDA 2023

The number of values of x in the interval [0,2π] satisfying |cos x|=1/2 isNDA 2023 Maths · medium
The sum of all solutions of tan ^2x=1 in the interval [0,2π) isNDA 2023 Maths · medium

NDA 2022

The value of θ∈[0,π] satisfying sin θ+√3cos θ=2 isNDA 2022 Maths · medium

NDA 2021

The smallest positive value of θ for which cos θ=-1/2 and tan θ=√3 hold together isNDA 2021 Maths · hard

NDA 2020

The smallest positive value of x satisfying √3cos x+sin x=√2 isNDA 2020 Maths · medium
The general solution of tan θ=-√3 isNDA 2020 Maths · easy
The sum of all solutions of sin 3x+sin x=sin 2x lying in [0,π] isNDA 2020 Maths · hard

NDA 2019

How many angles x with 0≤ x<2π satisfy 2cos ^2x+3sin x=3?NDA 2019 Maths · medium

NDA 2018

How many solutions does tan ^2x=3 have in [0,2π]?NDA 2018 Maths · medium

NDA 2017

The number of values of x in [0,π] satisfying sin x+sin 3x=sin 2x isNDA 2017 Maths · hard

NDA 2016

The general solution of tan x=√3 isNDA 2016 Maths · easy
The number of solutions of the equation sin 2x=sin x in the interval [0,2π) isNDA 2016 Maths · hard
The number of solutions of sin x+cos x=1 in the interval [0,2π) isNDA 2016 Maths · medium
For θ∈[0,2π): 1. The equation sin θ=cos θ has exactly two solutions. 2. The equation tan θ=cot θ has exactly the same solutions as sin θ=cos θ.NDA 2016 Maths · medium