Question
The sum of all the solution of the equation ( 3 + ) ( 3 - )= 1 4 , [0,6 ]
BITSAT
Mathematics
Trigonometric Equations
2022
BITSAT 2022
BITSAT Mathematics Question (2022) — Solution
Options
- A. 15
- B. 30
- C. 100 3
- D. None of these
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
Related: Mathematics — Trigonometric Equations · All PYQ Banks