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AP EAMCET201726 Apr 2017Morning ShiftMathematicsInverse Trigonometric FunctionsActual

sech ⁻¹ ( 1 2 )+ cosech ⁻¹(-1)=

Options

  1. A0
  2. B2 +1
  3. C2
  4. D2 -1

Correct answer

A. 0

Step-by-step solution

We have, aligned & sech ⁻¹ ( 1 2 )+ cosec h⁻¹(-1) & = _e ( 1+ 1-1 / 2 1 2 )+ _e ( 1- 1+1 -1 ) & = _e ( 2 +1 1 2 )+ _e( 2 -1) & = _e( 2 +1)+ _e( 2 -1) & = _e[( 2 +1)( 2 -1)] aligned aligned & [ m+ n= (m n)] & = _e (( 2 )^2-1 )= _e(2-1)= _e 1 & h⁻¹ ( 1 2 )+ cosec ⁻¹(-1)=0 aligned

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