Question
If ^ -1 ( 1 2 )= ( ^ -1 x ), then the value of x is
BITSAT
Mathematics
Inverse Trigonometric Functions
2024
BITSAT 2024 (Memory Based Paper 1)
BITSAT Mathematics Question (2024) — Solution
Options
- A. 1 6
- B. -1 12
- C. 2 6
- D. -2 6
Answer
A. 1 6
Step-by-step solution
We have ( ^ -1 ( 1 2 ) )= ( ^ -1 x ) Let ^ -1 ( 1 2 )= = 1 2 ^ -1 1 5 ( ^ -1 1 5 )= ( ^ -1 x 1-x^2 ) 1 5 = x 1-x^2 1-x^2 = 5 x On squaring both sides, we get, 1-x^2=5 x^2 1=6 x^2 x= 1 6 array ll & x= 1 6 [neglecting - ve sign] array
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