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MHT CET202016 Oct 2020Evening ShiftMathematicsInverse Trigonometric FunctionsActual

[ ( ⁻¹ 3 4 ) ]²+ [ ( ⁻¹ 4 3 ) ]²=

Options

  1. A5
  2. B1
  3. C-1
  4. D0

Correct answer

B. 1

Step-by-step solution

(D) Let ⁻¹ 3 4 = = 3 4 = 4 3 cosec ² =1+ 16 9 = 25 9 cosec = 5 3 = 3 5 ( ⁻¹ 3 4 )= ( ⁻¹ 3 5 )= 3 5 Let ⁻¹ 4 3 = = 4 3 = 3 4 cosec ² =1+ 9 16 = 25 16 cosec = 5 4 = 4 5 ( ⁻¹ 4 3 )= ( ⁻¹ 4 5 )= 4 5 Hence given expression = ( 3 5 )²+ ( 4 5 )²= 9+16 25 =1

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