Question
Considering the principal values of inverse trigonometric functions, the value of the expression (2 ^ -1 ( 2 13 )-2 ^ -1 ( 3 10 ) ) is equal to :
JEE Main
Mathematics
Inverse Trigonometric Functions
2026
JEE Main 2026 (28 January Shift 2)
JEE Main Mathematics Question (2026) — Solution
Options
- A. 16 63
- B. - 33 56
- C. - 16 63
- D. 33 56
Answer
D. 33 56
Step-by-step solution
Let = ^ -1 ( 2 13 ). Then = 2 13 , = 3 13 , = 2 3 . So (2 ) = 2 2 3 1 - 4 9 = 12 5 . Let = ^ -1 ( 3 10 ). Then = 3 10 , = 1 10 , = 1 3 . So (2 ) = 2 1 3 1 - 1 9 = 3 4 . Therefore (2 - 2 ) = 12 5 - 3 4 1 + 12 5 3 4 = 33 20 56 20 = 33 56
Related: Mathematics — Inverse Trigonometric Functions · All PYQ Banks