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Trigonometric Equations — NDA Mathematics PYQs

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

16 questionsMathematicsSolutions on every page
1

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

NDA 2026 Solution
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2

If 0 x 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 - 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 - 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 < ?

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 ( )= ( ), 0 2 ; then what is the value of 8 ^2 ( + 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 . 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 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 ?

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 =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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