Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202120 Aug 2021Evening ShiftMathematicsInverse Trigonometric FunctionsActual

tan - 1 ( - 2 ) - tan - 1 ( 3 ) is equal to

Options

  1. A3 π 4
  2. B- π 6
  3. Cπ 6
  4. D- 3 π 4

Correct answer

D. - 3 π 4

Step-by-step solution

Given that: tan - 1 ( - 2 ) - tan - 1 ( 3 ) As we know that, tan - 1 ( - x ) = - tan - 1 x = - tan - 1 ( 2 ) - tan - 1 ( 3 ) = - ( tan - 1 ( 2 ) + tan - 1 ( 3 ) ) As we know that, tan - 1 ( x ) + tan - 1 ( y )   = π + tan - 1 ( x + y 1 - x y )   when x y > 1 . = - π - tan - 1 ( 2 + 3 1 - 2 × 3 ) = - π - tan - 1 ( - 1 ) = - π + tan - 1 1 = - 3 π 4

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 AP EAMCET PYQs