Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
COMEDK2025MathematicsInverse Trigonometric FunctionsActual

The value of ⁻¹ ( 2 2 )- 2 is

Options

  1. A1
  2. B1 2
  3. C- 1 2
  4. D-1

Correct answer

D. -1

Step-by-step solution

The given expression is ⁻¹ ( 2 2 )- 2 . First, simplify the term inside the cosine inverse function: 2 2 = 1 2 . We know that ⁻¹ ( 1 2 ) = 4 . Substituting this into the expression, we get ( 4 - 2 ) . Calculating the value inside the tangent function: 4 - 2 = - 4 . Therefore, the expression becomes (- 4 ) . Since (- ) = - ( ) , we have (- 4 ) = - ( 4 ) = -1 . Answer: -1

Practice Inverse Trigonometric Functions on Quantrex Academy →

More from Inverse Trigonometric Functions

If y = ⁻¹ ( 1+x^3 + 1-x^3 1+x^3 - 1-x^3 ) then dy dx = 2026If X = ⁻¹ [2 (2 ⁻¹ 1 2 ) ] + ⁻¹ [ ( 7 6 ) ] and Y = ⁻¹ [ ( 11 6 ) ] + ⁻¹ [ ( 4 3 ) ] then the value of 2X - Y is: 2026The value of the expression ⁻¹ ( 7 6 ) + ⁻¹ ( 22 3 ) + ⁻¹ ( 4 5 ) is: 2026Which of the following is the simplest form of the expression ⁻¹ ( 1+x^2 - 1 x ) where x 0 2026If ⁻¹ x + ⁻¹ y = 2 , then x^2 is equal to 2026⁻¹ ( 1 1 + 1 2 ) + ⁻¹ ( 1 1 + 2 3 ) + + ⁻¹ ( 1 1 + n(n+1) ) = 2026The second order derivative of ⁻¹(4x^3 - 3x) with respect to ⁻¹(2x^2 - 1) , where 1 2 < x < 1 is 2026If 2 ⁻¹x - 3 ⁻¹x = 4 , then 2 ⁻¹x + 3 ⁻¹x = 2026 Full Inverse Trigonometric Functions list All COMEDK PYQs