Question
If x (0, 2 ) then the value of ^ -1 ( 7 2 (1+ 2 x)+ ( ^2 x-48 ^2 x ) x ) is equal to
BITSAT
Mathematics
Inverse Trigonometric Functions
2022
BITSAT 2022
BITSAT Mathematics Question (2022) — Solution
Options
- A. x- ^ -1 (7 x)
- B. x+ ^ -1 (7 x)
- C. x+ ^ -1 (6 x)
- D. x+ ^ -1 (7 x)
Answer
A. x- ^ -1 (7 x)
Step-by-step solution
y= ^ -1 ( 7 2 (1+ 2 x)+ ( ^2 x-48 ^2 x ) x ) = ^ -1 ((7 x)( x)+ 1-49 ^2 x 1- ^2 x ) = ^ -1 ( x)- ^ -1 (7 x) [ x < 7 x] =x- ^ -1 (7 x)
Related: Mathematics — Inverse Trigonometric Functions · All PYQ Banks