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Trigonometric Equations — JEE Main & Advanced Mathematics PYQs

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

236 questionsMathematicsSolutions on every page
1

Match each entry in List-I to the correct entry in List-II and choose the correct option. List-I List-II (P) The number of elements in the set x [- , ] : ^6 x + ^4 x = 1 (1) is 1 (

JEE Advanced 2026 Solution View → 2

Passage: Consider the curve C₁ given by y = e^ -x for x [0, 10 ] , and the curve C₂ given by y = e^ -x ( x + x) for x [0, 10 ] . Let n be the total number of points of intersection

JEE Advanced 2026 Solution View → 3

Let S = (-2 , 2 ) : + 1 = 3 . Then _ S is equal to:

JEE Main 2026 Solution View → 4

If S = [- , ] : 5 2 = 7 7 2 , then n(S) is equal to _______.

JEE Main 2026 Solution View → 5

Let S = x [- , ] : x ( x + x) = a, a Z . Then n(S) is equal to :

JEE Main 2026 Solution View → 6

The number of elements in the set x [0,180^ ]: (x+100^ )= (x+50^ ) x (x-50^ ) is _ _ _ _ .

JEE Main 2026 Solution View → 7

Number of solutions of 3 2 +8 +3 3 =0, [-3 , 2 ] is:

JEE Main 2026 Solution View → 8

The number of solutions of the equation 2 2 + 5 2 =2 ^3 5 2 in [- 2 , 2 ] is :

JEE Main 2025 Solution View → 9

If for [- 3 , 0 ] , the points (x, y)= (3 ( + 3 ), 2 ( + 6 ) ) lie on x y+ x+ y+ =0 , then ^2+ ^2+ ^2 is equal to :

JEE Main 2025 Solution View → 10

If 10 ^4 +15 ^4 =6 , then the value of 27 cosec ^6 +8 ^6 16 ^8 is:

JEE Main 2025 Solution View → 11

The number of solutions of equation (4- 3 ) x-2 3 ^2 x=- 4 1+ 3 , x [-2 , 5 2 ] is

JEE Main 2025 Solution View → 12

The number of solutions of the equation 2 x+3 x= , x [-2 , 2 ]- 2 , 3 2 is

JEE Main 2025 Solution View → 13

If [- 7 6 , 4 3 ] , then the number of solutions of 3 cosec ^2 -2( 3 -1) cosec -4=0 , is equal to

JEE Main 2025 Solution View → 14

If [-2 , 2 ] , then the number of solutions of 2 2 ^2 +(2- 6 ) - 3 =0 , is equal to:

JEE Main 2025 Solution View → 15

The sum of all values of [0,2 ] satisfying 2 ^2 = 2 and 2 ^2 =3 is

JEE Main 2025 Solution View → 16

Let f: R R be a function defined by f(x)= array cc x^2 ( x^2 ), & if x 0 0, & if x=0 array . Then which of the following statements is TRUE?

JEE Advanced 2024 Solution View → 17

Let 2 < x < be such that x= -5 11 . Then ( 11 x 2 )( 6 x- 6 x)+ ( 11 x 2 )( 6 x+ 6 x) is equal to

JEE Advanced 2024 Solution View → 18

The number of solutions of ^2 x+ (2+2 x-x^2 ) x-3(x-1)^2=0 , where - x , is________

JEE Main 2024 Solution View → 19

Suppose [0, 4 ] is a solution of 4 -3 =1 . Then is equal to :

JEE Main 2024 Solution View → 20

Let S= ^2 2 : ( ^4 + ^4 ) x^2+( 2 ) x+ ( ^6 + ^6 )=0 . has real roots . If and be the smallest and largest elements of the set S , respectively, then 3 (( -2)^2+( -1)^2 ) equals __

JEE Main 2024 Solution View → 21

The number of solutions of the equation 4 sin 2 x − 4 cos 3 x + 9 − 4 cos x = 0 ; x ∈ − 2 π , 2 π is:

JEE Main 2024 Solution View → 22

If 2 sin 3 x + sin 2 x cos x + 4 sin x - 4 = 0 has exactly 3 solutions in the interval 0 , n π 2 , n ∈ N , then the roots of the equation x 2 + n x + ( n - 3 ) = 0 belong to :

JEE Main 2024 Solution View → 23

The sum of the solutions x ∈ R of the equation 3 cos 2 x + cos 3 2 x cos 6 x - sin 6 x = x 3 - x 2 + 6 is

JEE Main 2024 Solution View → 24

If α , - π 2 < α < π 2 is the solution of 4 cos θ + 5 sin θ = 1 , then the value of tan α is

JEE Main 2024 Solution View → 25

If 2 tan 2 θ - 5 sec θ = 1 has exactly 7 solutions in the interval 0 , n π 2 , for the least value of n ∈ N then ∑ k = 1 n k 2 k is equal to :

JEE Main 2024 Solution View → 26

Let the set of all a ∈ R such that the equation cos 2 x + a sin x = 2 a - 7 has a solution be [ p , q ] and r = tan 9 ° - tan 27 ° - 1 cot 63 ° + tan 81 ° , then p q r is equal to

JEE Main 2024 Solution View → 27

For any y &#8712; &#8477; , let cot - 1 y &#8712; 0 , &#960; and tan - 1 y &#8712; - &#960; 2 , &#960; 2 . Then the sum of all the solutions of the equation tan - 1 6 y 9 - y 2 + c

JEE Advanced 2023 Solution View → 28

Let tan - 1 x &#8712; - &#960; 2 , &#960; 2 , for x &#8712; &#8477; . Then the number of real solutions of the equation 1 + cos 2 x = 2 tan - 1 tan x in the set - 3 &#960; 2 , - &#

JEE Advanced 2023 Solution View → 29

The number of elements in the set S = &#952; &#8712; [ 0 , 2 &#960; ] : 3 cos 4 &#952; - 5 cos 2 &#952; - 2 sin 6 &#952; + 2 = 0 is

JEE Main 2023 Solution View → 30

Let S = x &#8712; - &#960; 2 , &#960; 2 : 9 1 - tan 2 x + 9 tan 2 x = 10 and &#946; = &#8721; x &#8712; S tan 2 x 3 , then 1 6 ( &#946; - 14 ) 2 is equal to

JEE Main 2023 Solution View → 31

The set of all values of &#955; for which the equation cos 2 2 x - 2 sin 4 x - 2 cos 2 x = &#955;

JEE Main 2023 Solution View → 32

Let f ( &#952; ) = 3 sin 4 3 &#960; 2 - &#952; + sin 4 ( 3 &#960; + &#952; ) - 2 1 - sin 2 2 &#952; and S = &#952; &#8712; [ 0 , &#960; ] : f &#39; ( &#952; ) = - 3 2 . If 4 &#946;

JEE Main 2023 Solution View → 33

If m and n respectively are the numbers of positive and negative value of &#952; in the interval - &#960; , &#960; that satisfy the equation cos 2 &#952; cos &#952; 2 = cos 3 &#952

JEE Main 2023 Solution View → 34

Let S = &#952; &#8712; [ 0 , 2 &#960; ) : tan &#960;cos&#952; + tan &#960;sin&#952; = 0 , then &#8721; &#952; &#8712; S sin 2 &#952; + &#960; 4 is equal to

JEE Main 2023 Solution View → 35

Let M denote the determinant of a square matrix M . Let g : 0 , &#960; 2 &#8594; &#8477; be the function defined by g &#952; = f &#952; - 1 + f &#960; 2 - &#952; - 1 where f &#952;

JEE Advanced 2022 Solution View → 36

Consider the following lists: List- I List- II I x &#8712; - 2 &#960; 3 , 2 &#960; 3 : cos x + sin x = 1 P has two elements II x &#8712; - 5 &#960; 18 , 5 &#960; 18 : 3 tan 3 x = 1

JEE Advanced 2022 Solution View → 37

The number of elements in the set S = x &#8712; &#8477; : 2 cos x 2 + x 6 = 4 x + 4 - x is

JEE Main 2022 Solution View → 38

Let S = &#952; &#8712; ( 0 , 2 &#960; ) : 7 cos 2 &#952; - 3 sin 2 &#952; - 2 cos 2 2 &#952; = 2 . Then, the sum of roots of all the equations x 2 - 2 tan 2 &#952; + cot 2 &#952; x

JEE Main 2022 Solution View → 39

Let S = - &#960; , &#960; 2 - - &#960; 2 , - &#960; 4 , - 3 &#960; 4 , &#960; 4 . Then the number of elements in the set A = &#952; &#8712; S : tan &#952; 1 + 5 tan 2 &#952; = 5 -

JEE Main 2022 Solution View → 40

If the sum of solutions of the system of equations 2 sin 2 &#952; - cos 2 &#952; = 0 and 2 cos 2 &#952; + 3 sin &#952; = 0 in the interval 0 , 2 &#960; is k &#960; , then k is equa

JEE Main 2022 Solution View → 41

Let S = &#952; &#8712; 0 , 2 &#960; : 8 2 sin 2 &#952; + 8 2 cos 2 &#952; = 16 . Then n S + &#8721; &#952; &#8712; S sec &#960; 4 + 2 &#952; cosec &#960; 4 + 2 &#952; is equal to:

JEE Main 2022 Solution View → 42

The number of solutions of cos x = sin x , such that - 4 &#960; &#8804; x &#8804; 4 &#960; is

JEE Main 2022 Solution View → 43

The number of solutions of the equation sin x = cos 2 x in the interval 0 , 10 is ______.

JEE Main 2022 Solution View → 44

The number of elements in the set S = &#952; &#8712; - 4 &#960; , 4 &#960; : 3 cos 2 2 &#952; + 6 cos 2 &#952; - 10 cos 2 &#952; + 5 = 0 is ______.

JEE Main 2022 Solution View → 45

The number of solutions of the equation 2 &#952; - cos 2 &#952; + 2 = 0 in R is equal to ______.

JEE Main 2022 Solution View → 46

The number of values of x in the interval &#960; 4 , 7 &#960; 4 for which 14 cosec 2 x - 2 sin 2 x = 21 - 4 cos 2 x holds, is ______.

JEE Main 2022 Solution View → 47

The number of solutions of the equation cos x + &#960; 3 cos &#960; 3 - x = 1 4 cos 2 2 x , x &#8712; - 3 &#960; , 3 &#960; is:

JEE Main 2022 Solution View → 48

Let S = &#952; &#8712; [ - &#960; , &#960; ] - &#177; &#960; 2 : sin &#952; tan &#952; + tan &#952; = sin 2 &#952; . If T = &#8721; &#952; &#8712; S cos 2 &#952; , then T + n S is

JEE Main 2022 Solution View → 49

If n is the number of solutions of the equation 2 cos x 4 sin &#960; 4 + x sin &#960; 4 - x - 1 = 1 , x &#8712; 0 , &#960; and S is the sum of all these solutions, then the ordered

JEE Main 2021 Solution View → 50

Let S be the sum of all solutions (in radians) of the equation sin 4 &#952; + cos 4 &#952; - sin &#952; cos &#952; = 0 in [ 0 , 4 &#960; ] then 8 S &#960; is equal to

JEE Main 2021 Solution View → 51

The sum of solutions of the equation cos x 1 + sin x = tan 2 x , x &#8712; - &#960; 2 , &#960; 2 - - &#960; 4 , &#960; 4 is:

JEE Main 2021 Solution View → 52

The number of distinct real roots of sin x cos x cos x cos x sin x cos x cos x cos x sin x = 0 in the interval - &#960; 4 &#8804; x &#8804; &#960; 4 is:

JEE Main 2021 Solution View → 53

The sum of all values of x in [ 0 , 2 &#960; ] , for which sin x + sin 2 x + sin 3 x + sin 4 x = 0 , is equal to :

JEE Main 2021 Solution View → 54

The number of solutions of sin 7 x + cos 7 x = 1 , x &#8712; [ 0 , 4 &#960; ] is equal to

JEE Main 2021 Solution View → 55

The solutions of the equation 1 + sin 2 x sin 2 x sin 2 x cos 2 x 1 + cos 2 x cos 2 x 4 sin 2 x 4 sin 2 x 1 + 4 sin 2 x = 0 , 0 &#60; x &#60; &#960; , are

JEE Main 2021 Solution View → 56

The number of solutions of the equation | cot x | = cot x + 1 sin x in the interval [ 0 , 2 &#960; ] is

JEE Main 2021 Solution View → 57

The number of solutions of the equation x + 2 tan x = &#960; 2 in the interval 0 , 2 &#960; is

JEE Main 2021 Solution View → 58

The number of roots of the equation, 81 sin 2 x + 81 cos 2 x = 30 in the interval 0 , &#960; is equal to :

JEE Main 2021 Solution View → 59

If 3 cos 2 x = 3 - 1 cos x + 1 , then number of solutions of the given equation when x &#8712; 0 , &#960; 2 is ________.

JEE Main 2021 Solution View → 60

If 0 &#60; x , y &#60; &#960; and cos x + cos y - cos x + y = 3 2 , then sin x + cos y is equal to:

JEE Main 2021 Solution View → 61

All possible values of &#952; &#8712; 0 , 2 &#960; for which sin 2 &#952; + tan 2 &#952; &#62; 0 lie in :

JEE Main 2021 Solution View → 62

Let f : 0 , 2 &#8594; &#8477; be the function defined by f x = 3 &#8722; sin 2 &#960; x sin &#960; x &#8722; &#960; 4 &#8722; sin 3 &#960; x + &#960; 4 . If &#945; , &#946; &#8712;

JEE Advanced 2020 Solution View → 63

Number of roots of the equation cos 2 ⁡ x + 3 + 1 2 sin ⁡ x - 3 4 - 1 = 0 which lie in the interval - π , π is

NTA Abhyas JEE Main 2020 Solution View → 64

If the equation x 2 + 4 + 3 sin ⁡ a x + b - 2 x = 0 has atleast one real solution, where a , b ∈ [ 0, 2 π ] , then one possible value of ( a + b ) can be equal to

NTA Abhyas JEE Main 2020 Solution View → 65

The number of solutions, the equation s i n 4 x + c o s 4 x = s i n x c o s x has, in [ π , 5 π ] is/are

NTA Abhyas JEE Main 2020 Solution View → 66

If 1 + sin ⁡ θ + sin 2 ⁡ θ + sin 3 ⁡ θ + . . . ∞ = 4 + 2 3 , 0 < θ < π , then

NTA Abhyas JEE Main 2020 Solution View → 67

If 1 6 sin θ , cos θ and tan ⁡ θ are in geometric progression, then the complete solution set of θ is

NTA Abhyas JEE Main 2020 Solution View → 68

The number of values of θ ∈ − 3 π 2 , 4 π 3 which satisfies the system of equations 2 sin 2 θ + sin 2 2 θ = 2 and sin 2 θ + cos 2 θ = tan θ is

NTA Abhyas JEE Main 2020 Solution View → 69

If tan ⁡ k + 1 θ = tan ⁡ θ , then the set of all the values of θ is

NTA Abhyas JEE Main 2020 Solution View → 70

General solution of the equation t a n 2 θ + s e c 2 θ = 1 is

NTA Abhyas JEE Main 2020 Solution View → 71

The general solution of the system of equations sin 3 x + sin 3 2 π 3 + x + sin 3 4 π 3 + x + 3 4 cos 2 x = 0 and cos ⁡ x ≠ 0 is

NTA Abhyas JEE Main 2020 Solution View → 72

The set &#160; x &#8712; R : cos &#8289; 2 x + 2 cos 2 &#8289; x = 2 &#160; is equal to

NTA Abhyas JEE Main 2020 Solution View → 73

Number of solutions of 2 s i n ( | x | ) = 3 | c o s x | in [ − π , π ] , is equal to

NTA Abhyas JEE Main 2020 Solution View → 74

Consider the equation l o g 2 s i n x 1 + c o s x = 2 , x ∈ - π 2 , 3 π 2 . If the sum of the roots is p π q , where G.C.D p , q = 1 , then the value of p 2 + q 2 is

NTA Abhyas JEE Main 2020 Solution View → 75

If the expression ( 1 + tan &#8289; x + tan 2 &#8289; x ) ( 1 - cot &#8289; x + cot 2 &#8289; x ) is positive, then the complete set of values of x is

NTA Abhyas JEE Main 2020 Solution View → 76

The number of ordered pairs ( x , y ) satisfying the equations y = 2 sin ⁡ x a n d y = 5 x 2 + 2 x + 3 is/are

NTA Abhyas JEE Main 2020 Solution View → 77

If x and y are the solutions of the equation 5 + 8 s i n 2 x = 2 y 2 - 8 y + 21 , then the least possible value of x 2 y 3 is

NTA Abhyas JEE Main 2020 Solution View → 78

In the interval 0 , 2 π , sum of all the roots of the equation sin π log 3 1 x = 0 is

NTA Abhyas JEE Main 2020 Solution View → 79

If 0 ≤ x ≤ 2 π , then the number of real values of x satisfying the equation 8 1 s i n 2 x + 8 1 c o s 2 x = 30 is

NTA Abhyas JEE Main 2020 Solution View → 80

If c o s x - s i n x = - 5 4 , where π 2 < x < 3 π 4 , then c o t x 2 is equal to

NTA Abhyas JEE Main 2020 Solution View → 81

The number of solutions of the equation cot &#8289; x = cot &#8289; x + cosec x in 0,10 &#960; is/are

NTA Abhyas JEE Main 2020 Solution View → 82

The set of all values of a for which the equation cos &#8289; 2 x + a sin &#8289; x = 2 a - 7 has a solution is

NTA Abhyas JEE Main 2020 Solution View → 83

If cot ⁡ α + β = 0 , then sin ⁡ α + 2 β is equal to

NTA Abhyas JEE Main 2020 Solution View → 84

The sum of the roots of the equation 3 cos &#8289; x - sin &#8289; x = 2 in 0,4 &#960; is k &#960; , then the value of 6 k is

NTA Abhyas JEE Main 2020 Solution View → 85

The total number of solution(s) of the equation 2 x + 3 tan ⁡ x = 5 π 2 in x ∈ 0,2 π is/are equal to

NTA Abhyas JEE Main 2020 Solution View → 86

If log cos x ⁡ sin x ≥ 2 and 0 ≤ x ≤ 3 π , then the value of sin x lies in the interval

NTA Abhyas JEE Main 2020 Solution View → 87

The number of roots of the equation tan ⁡ x + sec ⁡ x =2 cos ⁡ x in 0 , 4 π is

NTA Abhyas JEE Main 2020 Solution View → 88

For - &#960; 2 &#8804; x &#8804; &#960; 2 , the number of points of intersection of curves y = cos &#8289; x and y = sin &#8289; 3 x is

NTA Abhyas JEE Main 2020 Solution View → 89

If 0 &#60; A &#60; B &#60; &#960; , &#160; sin &#8289; A - sin &#8289; B = 1 2 and cos &#8289; A - cos &#8289; B = 3 2 , then the value of A + B is equal to

NTA Abhyas JEE Main 2020 Solution View → 90

c o s e c 2 θ cos 2 θ - 3 cos ⁡ θ + 2 ≥ 1 , if θ belongs to

NTA Abhyas JEE Main 2020 Solution View → 91

Let f x = 25 x 25 x + 5 , then the number of solution(s) of the equation f s i n 2 θ + f c o s 2 θ = t a n 2 θ , θ ∈ 0,10 π is/are

NTA Abhyas JEE Main 2020 Solution View → 92

If x and y are the solutions of the equation 12 sin ⁡ x + 5 cos ⁡ x = 2 y 2 - 8 y + 21 , then the value of 12 c o t x y 2 is (Given, x < π )

NTA Abhyas JEE Main 2020 Solution View → 93

The sum of the roots of the equation cos ⁡ 4 x + 6 = 7 cos ⁡ 2 x in the interval 0,314 is λ π , then the numerical value of λ is

NTA Abhyas JEE Main 2020 Solution View → 94

If &#945; and &#946; are the solutions of s i n x = - 1 2 in 0,2 &#960; and &#945; and &#947; are the solutions of cos &#8289; x = - 3 2 in 0,2 &#960; , then the value of &#945; +

NTA Abhyas JEE Main 2020 Solution View → 95

If α and β are the solutions of cot ⁡ x = - 3 in 0,2 π and α and γ are the solutions of cosec ⁡ x = - 2 in 0,2 π , then the value of α - β β + γ is equal to

NTA Abhyas JEE Main 2020 Solution View → 96

The value of 2 &#945; + &#946; &#160; 0 &#60; &#945; , &#160; &#946; &#60; &#960; 2 , satisfying the equation cos &#8289; &#945; cos &#8289; &#946; cos &#8289; &#945; + &#946; = -

NTA Abhyas JEE Main 2020 Solution View → 97

The value of a + b such that the inequality a ≤ 5 cos ⁡ θ + 3 c o s θ + π 3 + 3 ≤ b holds true for all the real values of θ is (equality holds on both sides atleast once for real v

NTA Abhyas JEE Main 2020 Solution View → 98

The equation k cos ⁡ x - 3 sin ⁡ x = k + 1 is solvable only if

NTA Abhyas JEE Main 2020 Solution View → 99

If s i n 2 x + 10 - x 2 = 9 - x 2 + 2 s i n 2 x + c o s 2 x , then x lies in

NTA Abhyas JEE Main 2020 Solution View → 100

The number of solutions to the equation 2 e sin ⁡ x - 3 - e 2 sin ⁡ x = e sin ⁡ x - e 2 sin ⁡ x - 1 in 0,2 π is

NTA Abhyas JEE Main 2020 Solution View → 101

If 0 &#60; &#945; , &#946; &#60; &#960; and cos &#8289; &#945; + cos &#8289; &#946; - c o s &#945; + &#946; = 3 2 , then the value of 3 sin &#8289; &#945; + cos &#8289; &#945; is e

NTA Abhyas JEE Main 2020 Solution View → 102

The sum of all the values of x between 0 and 4 π which satisfy the equation s i n x 8 c o s 2 x = 1 is k π , then the value of k 5 is equal to

NTA Abhyas JEE Main 2020 Solution View → 103

If x = 2 n &#960; + t a n - 1 p q and y = r is a solution of the equation 12 sin &#8289; x + 5 cos &#8289; x = 2 y 2 - 8 y + 21 , then the value of k , such that p 2 + q 2 + k r 2

NTA Abhyas JEE Main 2020 Solution View → 104

The number of solutions of the equation t a n 2 x - s e c 10 x + 1 = 0 for x ∈ 0,20 is equal to

NTA Abhyas JEE Main 2020 Solution View → 105

If sin ⁡ x + cos ⁡ x = 7 2 , where x ∈ 0 , π 4 , then the value of t a n x 2 is equal to

NTA Abhyas JEE Main 2020 Solution View → 106

The equation t a n 4 x - 2 s e c 2 x + a 2 = 0 will have at least one solution, if

NTA Abhyas JEE Main 2020 Solution View → 107

The number of solutions of the equation l o g 2 cos ⁡ θ 2 + l o g 4 cos ⁡ θ 16 cos ⁡ θ = 2 in the interval 0,2 π is

NTA Abhyas JEE Main 2020 Solution View → 108

The sum of all the solutions in 0,100 for the equation sin ⁡ π x + cos ⁡ π x = 0 is

NTA Abhyas JEE Main 2020 Solution View → 109

If 0 < A < B < π , sin ⁡ A + sin ⁡ B = 3 2 and cos ⁡ A + cos ⁡ B = 1 2 , then A =

NTA Abhyas JEE Main 2020 Solution View → 110

If tan 2 &#8289; x + y + cot 2 &#8289; x + y = 1 - 2 x - x 2 , then w h e r e , &#160; n &#8712; Z

NTA Abhyas JEE Main 2020 Solution View → 111

General solution of the equation 4 cot ⁡ 2 θ + t a n 2 θ = cot 2 ⁡ θ is (where, n ∈ Z )

NTA Abhyas JEE Main 2020 Solution View → 112

The number of solutions in the interval 0 , π of the equation sin 3 ⁡ x cos ⁡ 3 x + sin ⁡ 3 x cos 3 ⁡ x = 0 is equal to

NTA Abhyas JEE Main 2020 Solution View → 113

If cos ⁡ x = tan ⁡ y , cos ⁡ y = tan ⁡ z and cos ⁡ z = tan ⁡ x , then sin ⁡ x = 2 sin ⁡ θ where θ is (where, x , y , z , θ are acute angles)

NTA Abhyas JEE Main 2020 Solution View → 114

The number of values of x lying in the interval - 2 π , 2 π satisfying the equation 1 + cos ⁡ 10 x cos ⁡ 6 x = 2 c o s 2 8 x + s i n 2 8 x is equal to

NTA Abhyas JEE Main 2020 Solution View → 115

The number of solutions of the equation sin 3 ⁡ x cos ⁡ x + sin 2 ⁡ x cos 2 ⁡ x + cos 3 ⁡ x sin ⁡ x + 1 = 0 in the interval 0 , 2 π is equal to

NTA Abhyas JEE Main 2020 Solution View → 116

If sin ⁡ x + cos ⁡ y = 1 3 and cos ⁡ x + sin ⁡ y = 3 4 , then the value of tan ⁡ x - y 2 is equal to

NTA Abhyas JEE Main 2020 Solution View → 117

If 3 sin ⁡ x + cos ⁡ x - 2 = y - 1 2 for 0 ≤ x ≤ 8 π, then the number of values of the pair x , y is equal to

NTA Abhyas JEE Main 2020 Solution View → 118

The number of solutions of the equation cot 2 ⁡ sin ⁡ x + 3 = 1 in 0,3 π is equal to

NTA Abhyas JEE Main 2020 Solution View → 119

The solution of the equation sin 2 ⁡ x + cos 2 ⁡ 3 x = 1 is

NTA Abhyas JEE Main 2020 Solution View → 120

The number of solutions of the equation 3 + cos ⁡ x 2 = 4 - 2 sin 8 ⁡ x in 0 , 9 π is equal to

NTA Abhyas JEE Main 2020 Solution View →
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