Trigonometric Equations questions
449 published questions with worked solutions.
- If x_1, x_2, , x_n are real numbers, then the largest value of the expression x_1 x_2 + x_2 x_3 + + x_n x_1 isNot in JEE Main syllabus
- The number of real roots of the equation ( 2^x)( 2^x) = 2^x + 2^ -x 2 , isNot in JEE Main syllabus
- The number of solutions of the equation x + |x| = 0 isNot in JEE Main syllabus
- x+ x=y^2-y+a has no value of x for any y, if a' belongs toNot in JEE Main syllabus
- Let 2 ^2x+3 x-2>0 and x^2-x-2<0, (x is measured in radians). Then x lies in the intervalNot in JEE Main syllabus
- The equation 2 ^2 ( x2 ) ^2x=x^2+ 1 x^2 , 0 x 2 hasNot in JEE Main syllabus
- The number of solutions of the equation 2 (e^x )=5^x+5^ -x , isNot in JEE Main syllabus
- Let P = θ ∈ [0, 4π] : tan²θ ≠ 1 and S = a ∈ ℤ : 2(cos⁸θ − sin⁸θ)sec2θ = a², θ ∈ P . Then n(S) is:Not in JEE Main syllabus
- Let S = x ∈ [−π, π] : sin x(sin x + cos x) = a, a ∈ ℤ . Then n(S) is equal to:Not in JEE Main syllabus
- If S= [- , ] : 5 2= 7 7 2 , then n(S) is equal to _______.Not in JEE Main syllabus
- Let S= θ∈(−2π, 2π) : cosθ+1=√3 sinθ . Then _ S is equal to:Not in JEE Main syllabus
- Let |cos θ cos(60° − θ) cos(60° + θ)| ≤ 1/8, θ ∈ [0, 2π]. Then the sum of all θ ∈ [0, 2π], where cos 3θ attains its maximum...Not in JEE Main syllabus
- If 2tan²θ – 5secθ = 1 has exactly 7 solutions in the interval [0, n 2 ], for the least value of n ∈ N, then _ k=1 ^n k 2^k is...Not in JEE Main syllabus
- Let the set of all a ∈ R such that the equation cos2x + a sinx = 2a – 7 has a solution be [p, q] and r = tan9° – tan27° – 1 63° +...Not in JEE Main syllabus
- The sum of the solution x ∈ ℝ of the equation 3 2x + ^32x ^6x - ^6x = x^3 - x^2 + 6 isNot in JEE Main syllabus
- If α, −π/2 < α < π/2 is the solution of 4cosθ + 5sinθ = 1, then the value of tanα is-Not in JEE Main syllabus
- If 2sin³x + sin2xcosx + 4sinx – 4 = 0 has exactly 3 solutions in the interval [0, nπ/2], n ∈ ℕ, then the roots of the equation x²...Not in JEE Main syllabus
- The number of solutions, of the equation e^ sin x − 2e^ −sin x = 2, isNot in JEE Main syllabus
- If n is the number of solutions of the equation 2 x (4 ( 4 +x ) ( 4 -x )-1 )=1, x [0, ] and S is the sum of all these solutions,...Not in JEE Main syllabus
- The number of roots of the equation, (81)^ ^2x +(81)^ ^2x =30 in the interval [0, ] is equal to :Not in JEE Main syllabus
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