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NDA Trigonometric Equations PYQs with Solutions

16 previous year questions from Trigonometric Equations (NDA Mathematics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

16 questionsMathematics2014–2026Answers + solutions

About Trigonometric Equations PYQs

Trigonometric Equations has 16 previous year questions in the Quantrex Academy NDA Mathematics bank. The 16 questions in this list come from NDA (16), spanning 2014 to 2026. Each question opens on its own page with the options, the correct answer and the worked solution where available.

Questions by year (this list)

  • 2026: 1
  • 2025: 3
  • 2024: 2
  • 2023: 1
  • 2022: 1
  • 2021: 2
  • 2018: 2
  • 2016: 2
  • 2014: 2

Trigonometric Equations questions with solutions

1

What is the smallest positive x satisfying _ x x+ _ x x=2 ?

NDA 2026 Solution
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2

If 0 ≤ x ≤ (π)/(2) , then what is the number of values of x satisfying the equation x + x = 2 x ?

NDA 2025 Solution
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3

For the following two (02) items: Let (2x + 3y) = (1)/(2) and (3x + 2y) = 3 2 , where -π How many values does (y - x) have?

NDA 2025 Solution
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4

For the following two (02) items: Let (2x + 3y) = (1)/(2) and (3x + 2y) = 3 2 , where -π How many values does (x + y) have?

NDA 2025 Solution
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5

What is the number of solutions of the equation 2 x · 3 x=1 for 0 < x < π ?

NDA 2024 Solution
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6

What is the general solution of ^ 100 x- ^ 100 x=1 ? where n is an integer.

NDA 2024 Solution
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7

If (π θ)= (π θ), 0 θ (π)/(2) ; then what is the value of 8 ^2(θ+(π)/(4))

NDA 2023 Solution
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8

If 1+2( x+ x)( x- x)=0 where 0 < x < 360^ ^ ∘ , then how many values does x take?

NDA 2022 Solution
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9

Let 4 ^2 x=3 , where 0 ≤ x ≤ π . What is 3 x equal to?

NDA 2021 Solution
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10

The value of x , satisfying the equation _ x x=1 , where 0 < x < (π)/(2) , is

NDA 2021 Solution
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11

A is an angle in the fourth quadrant. If satisfies the trigonometric equation 3(3- ^2 A- A)^2=1 . Which one of the following is a value of A ?

NDA 2018 Solution
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12

What is/are the solutions of the trigonometric equation cosec x+ x= 3 , where 0 < x < 2 π ?

NDA 2018 Solution
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13

Consider the equation: k x+ 2 x=2 k-7 If the equation possesses solution, then what is the minimum value of k ?

NDA 2016 Solution
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14

Consider the equation: k x+ 2 x=2 k-7 If the equation possesses solution, then what is the maximum value of k ?

NDA 2016 Solution
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15

Which one of the following is one of the solutions of the equation 2 θ · θ=1 ?

NDA 2014 Solution
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16

The complete solution of 3 ^2 x=1 is given by:

NDA 2014 Solution
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