Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT2022MathematicsTrigonometric EquationsActual

The sum of all the solution of the equation ( 3 + ) ( 3 - )= 1 4 , [0,6 ]

Options

  1. A15
  2. B30
  3. C100 3
  4. DNone of these

Correct answer

B. 30

Step-by-step solution

aligned & 2 [ 120^ + 2 ]=1 & 2 (- 1 2 +2 ^2 -1 )=1 & 4 ^3 -3 -1=0 & 3 =1= 0 & 3 =2 n or = 2 n 3 , n z aligned Given the values so that 2 n does not exceed 18 . Hence, the sum = 2 3 ₁^9 n= 2 3 9(9+1) 2 =30

Practice Trigonometric Equations on Quantrex Academy →

More from Trigonometric Equations

Number of solutions of equations 9 = in the interval [0,2 ] is 2024The range of (8 +6 )^2+2 is 2024General solution of 5 = 2 is 2023If ^2 = 4 3 , then the general value of is 2023If y= 2 1+ + , then value of 1- + 1+ is 2021The value of [ n +(-1)^ n 4 ], n I is 2020The least positive non-integral solution of the equation (x²+x )= x² is 2020The number of real numbers λ for which the equality sin ( λ α ) sin α - cos ( λ α ) cos α = λ - 1 , holds for all real α which are not 2019 Full Trigonometric Equations list All BITSAT PYQs