Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT2021MathematicsInverse Trigonometric FunctionsActual

The value of (2 ⁻¹ x+ ⁻¹ x ) at x= 1 5 is

Options

  1. A- 2 6 5
  2. B-2 6
  3. C- 6 5
  4. DNone of these

Correct answer

A. - 2 6 5

Step-by-step solution

[2 ⁻¹ x+ ⁻¹ x ]= [ ⁻¹ x+ ⁻¹ x+ ⁻¹ x ]= [ ⁻¹ x+ 2 ]=- [ ⁻¹ x ]=- [ ⁻¹ 1-x² ]=- 1-x² =- 1- ( 1 5 )² =- 24 25 =- 2 6 5

Practice Inverse Trigonometric Functions on Quantrex Academy →

More from Inverse Trigonometric Functions

If ( ⁻¹ x )= ⁻¹ ( a b^2-a^2 ) b a , then x = 2024If ⁻¹ ( 1 2 )= ( ⁻¹ x ) , then the value of x is 2024The value of (2 ⁻¹ x+ ⁻¹ x ) at x= 1 5 is 2023⁻¹ ( 1 4 )+ ⁻¹ ( 2 9 ) is equal to 2023If x (0, 2 ) then the value of ⁻¹ ( 7 2 (1+ 2 x)+ ( ^2 x-48 ^2 x ) x ) is equal to 2022∑ m = 1 n tan - 1 2 m m 4 + m 2 + 2 is equal to 2019If sin - 1 x + tan - 1 x = π / 2 , then 2 x 2 + 1 = 2019The value of S = ∑ n = 1 ∞ tan - 1 2 n n 4 + n 2 + 2 is equal to 2018 Full Inverse Trigonometric Functions list All BITSAT PYQs