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AP EAMCET201822 Apr 2018Evening ShiftMathematicsInverse Trigonometric FunctionsActual

Consider the following statements. I. ⁻¹ (y^2-4 y+6 )+ ⁻¹ (y^2-4 y+6 ) = 2 , y R II. ⁻¹ (y^2-4 y+6 )+ cosec ⁻¹ (y^2-4 y+6 ) = 2 , y R Which of the above statement(s) is/are true?

Options

  1. AOnly I
  2. BOnly II
  3. CBoth I and II
  4. DNeither I nor II

Correct answer

B. Only II

Step-by-step solution

Given statements, ⁻¹ (y^2-4 y+6 )+ ⁻¹ (y^2-4 y+6 )= 2 y^2-4 y+6=(y-2)^2+2 2, y R . So, statement (i) is false and statement (ii) is true.

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