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AP EAMCET2014MathematicsTrigonometric Ratios & Identities

h⁻¹ ( 1 2 )- cosec h⁻¹ ( 3 4 ) equals to

Options

  1. A_e(3(2+ 3 ))
  2. B_e ( 1+ 3 3 )
  3. C_e ( 2+ 3 3 )
  4. D_e ( 2- 3 3 )

Correct answer

C. _e ( 2+ 3 3 )

Step-by-step solution

aligned & h⁻¹ x= _e ( 1+ 1-x^2 x ) & and cosec h⁻¹ x= _e ( 1+ 1+x^2 x ) & h⁻¹ ( 1 2 )- cosec h ( 3 4 ) & = _e ( 1+ 1- ( 1 2 )^2 1 2 )- _e ( 1+ 1+ 9 16 3 4 ) & = _e ( 1+ 3 2 1 2 )- _e ( 1+ 5 4 3 4 ) & = _e(2+ 3 )- _e ( 9 3 ) & = _e(2+ 3 )- _e(3) & = _e (2+ 3 ) 3 aligned

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