Trigonometric Equations questions
449 published questions with worked solutions.
- If 0 ≤ x < 2π, then the number of real values of x, which satisfy the equation cos x + cos 2x + cos 3x + cos 4x = 0, is :Not in JEE Main syllabus
- If sum of all the solutions of the equation 8 x ( ( 6 + x ) ( 6 - x ) - 1 2 ) = 1 in [0, ] is k , then k is equal to :Not in JEE Main syllabus
- Let S = [-2 , 2 ] : 2 ^2 + 3 = 0 . Then the sum of the elements of S is:Not in JEE Main syllabus
- The number of solutions of 3x = 2x, in the interval ( 2 , ) is -Not in JEE Main syllabus
- All the pairs (x, y) that satisfy the inequality 2^ ^2x - 2 x + 5 1 4^ ^2y 1 also satisfy the equation:Not in JEE Main syllabus
- If 0 x < 2, then the number of values of x for which sin x − sin 2x + sin 3x = 0, is:Not in JEE Main syllabus
- The number of solutions of the equation 1 + ^4x = ^23x, x [- 5 2 , 5 2 ] is:Not in JEE Main syllabus
- The sum of all values of (0, 2 ) satisfying ^22 + ^42 = 34 is:Not in JEE Main syllabus
- Let S be the set of all α ∈ R such that the equation, cos 2x + α sin x = 2α − 7 has a solution. Then S is equal to:Not in JEE Main syllabus
- A value of (0, 3 ), for which vmatrix 1 + ^2 & ^2 & 4 6 ^2 & 1 + ^2 & 4 6 ^2 & ^2 & 1 + 4 6 vmatrix = 0, is:Not in JEE Main syllabus
- If _1 and _2 be respectively the smallest and the largest values of in (0, 2 )- which satisfy the equation, 2 ^2 - 5 +4=0, then _...Not in JEE Main syllabus
- The number of solutions of the equation 4 sin²x − 4 cos³x + 9 − 4 cos x = 0; x ∈ [−2π, 2π] is:Not in JEE Main syllabus
- Suppose θ ∈ (0, 4 ) is a solution of 4 cos θ − 3 sin θ = 1. Then cos θ is equal to:Not in JEE Main syllabus
- The number of solutions of sin²x + (2 + 2x − x²)sin x − 3(x − 1)² = 0, where −π ≤ x ≤ π, isNot in JEE Main syllabus
- If the equation ^4 + ^4 + =0 has real solutions for , then lies in the interval :Not in JEE Main syllabus
- If ^x + ^x 1, 0 < < 2 , thenNot in JEE Main syllabus
- Solution of the inequality (x + 3 ) 1 isNot in JEE Main syllabus
- Solution of the inequality ^4 ( x 3 ) + ^4 ( x 3 ) > 1 2 , is given byNot in JEE Main syllabus
- The number of solutions of the inequality E = 2^ 1/ ^2 _2 3^ 1/ ^2 _3 n^ 1/ ^2 _n n! where _i (- , 2 ) for i = 2, 3, , n isNot in JEE Main syllabus
- The number of ordered 4-tuples (x, y, z, w) where x, y, z, w [0, 10] which satisfy the inequality 2^ ^2 x 3^ ^2 y 4^ ^2 z 5^ ^2 w...Not in JEE Main syllabus
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