MHT CET202312 May 2023Evening ShiftMathematicsInverse Trigonometric FunctionsActual

The value of x , for which ( ⁻¹(x) )= ( ⁻¹(1+x) ) , is

Options

A0
B1
C- 1 2
D1 2

Correct answer

C. - 1 2

Step-by-step solution

Note that ⁻¹ x= ⁻¹ ( 1 1+x^2 ) and aligned & ⁻¹(1+x)= ⁻¹ ( 1 1+(1+x)^2 ) & ( ⁻¹(x) )= ( ⁻¹(1+x) ) & ( ⁻¹ ( 1 1+x^2 ) )= ( ⁻¹ ( 1 1+(1+x)^2 ) ) & 1 1+x^2 = 1 1+(1+x)^2 & 1+(1+x)^2=1+x^2 & x= -1 2 aligned

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 = 2026 If 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: 2026 The value of the expression ⁻¹ ( 7 6 ) + ⁻¹ ( 22 3 ) + ⁻¹ ( 4 5 ) is: 2026 Which of the following is the simplest form of the expression ⁻¹ ( 1+x^2 - 1 x ) where x 0 2026 If ⁻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) ) = 2026 The second order derivative of ⁻¹(4x^3 - 3x) with respect to ⁻¹(2x^2 - 1) , where 1 2 < x < 1 is 2026 If 2 ⁻¹x - 3 ⁻¹x = 4 , then 2 ⁻¹x + 3 ⁻¹x = 2026 Full Inverse Trigonometric Functions list All MHT CET PYQs