Trigonometric Equations questions
449 published questions with worked solutions.
- Let the equation x cosec ,x=p have a solution, where p is a positive real number. What should be the smallest value of p?Not in JEE Main syllabus
- Let f: [0, 2] R be the function defined by f(x) = (3 - (2 x)) ( x - 4 ) - (3 x + 4 ). If , [0, 2] are such that x [0, 2] : f(x) 0...Not in JEE Main syllabus
- Consider the following lists: List-I (I) x [- 2 3 , 2 3 ] : x + x = 1 (II) x [- 5 18 , 5 18 ] : 3 3x = 1 (III) x [- 6 5 , 6 5 ] :...Not in JEE Main syllabus
- Let ^ -1 (x) (- 2 , 2 ), for x R . Then the number of real solutions of the equation 1 + (2x) = 2 ^ -1 ( x) in the set (- 3 2 , -...Not in JEE Main syllabus
- Let the function f: R R be defined by f(x) = x e^ x , (x^ 2023 + 2024x + 2025 ) (x^2 - x + 3 ) + 2 e^ x , (x^ 2023 + 2024x + 2025...Not in JEE Main syllabus
- Let S = [- , /2) - - /2, - /4, -3 /4, /4 . Then the number of elements in the set A = S : (1 + 5 (2 )) = 5 - (2 ) is _____.Not in JEE Main syllabus
- Let S = (0, 2 ) : 7 ^ 2 - 3 ^ 2 - 2 ^ 2 2 = 2 . Then, the sum of roots of all the equations x^ 2 - 2( ^ 2 + ^ 2 )x + 6 ^ 2 = 0,...Not in JEE Main syllabus
- The number of solutions of the equation sin x = ^ 2 x in the interval (0, 10) is _____.Not in JEE Main syllabus
- The number of elements in the set S = [-4 , 4 ] : 3 ^ 2 2 + 6 2 - 10 ^ 2 + 5 = 0 is _____.Not in JEE Main syllabus
- The number of elements in the set S = [0,2 ]: 3 ^4 -5 ^2 -2 ^6 +2=0 is :Not in JEE Main syllabus
- Let S = [0,2 ] : ( )+ ( )=0 . Then _ S ^2 ( + 4 ) is equal to ___________Not in JEE Main syllabus
- If m and n respectively are the numbers of positive and negative values of in the interval [- , ] that satisfy the equation 2 2 =...Not in JEE Main syllabus
- Let (a, b) (0, 2 ) be the largest interval for which ^ -1 ( )- ^ -1 ( )>0, (0,2 ), holds. If x^2+ x+ ^ -1 (x^2-6x+10)+ ^ -1...Not in JEE Main syllabus
- The number of solutions of the pair of equations 2 ^2 - 2 = 0 2 ^2 - 3 = 0 in the interval [0, 2π] isNot in JEE Main syllabus
- The number of solution of x + x = 2 x in [0, 2 ) isNot in JEE Main syllabus
- The number of values of x in the interval [0, 3 ] satisfying the equation 2 ^2x + 5 x - 3 = 0 isNot in JEE Main syllabus
- The general solution of 2 3 ^2 = isNot in JEE Main syllabus
- The principle solutions, of the equation 3 x+2=0, areNot in JEE Main syllabus
- The number of all values of in the interval (- 2 , 2 ) satisfying the equation (1- )(1+ ) ^2 + 2 ^2 = 0 isNot in JEE Main syllabus
- If and are not odd multiples of 2 then = implies principle solution isNot in JEE Main syllabus
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