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Manipal MET2020MathematicsInverse Trigonometric Functions

The value of [2 ⁻¹ ( 1 5 )- 4 ] is

Options

  1. A17 7
  2. B-17 7
  3. C7 17
  4. D-7 17

Correct answer

D. -7 17

Step-by-step solution

[2 ⁻¹ ( 1 5 )- 4 ]= [ ⁻¹ ( 2 5 1- 1 25 )- 4 ] aligned & [ 2 ⁻¹ = ⁻¹ ( 2 1- ^2 ) ] & = [ ⁻¹ ( 10 24 )- 4 ] & = ⁻¹ ( 10 24 ) - ( 4 ) 1+ ⁻¹ ( 10 24 ) ( 4 ) aligned aligned & = 10 24 -1 1+ 10 24 1 & = 10-24 24+10 & = -14 34 = -7 17 aligned

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