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AP EAMCET2013MathematicsInverse Trigonometric Functions

If ⁻¹ ( 5 13 )+ ⁻¹ ( 3 5 )= ⁻¹ x , then x is equal to

Options

  1. A3 65
  2. B-36 65
  3. C-33 65
  4. D-1

Correct answer

C. -33 65

Step-by-step solution

aligned & ⁻¹ ( 5 13 )+ ⁻¹ ( 3 5 )= ⁻¹ x & = ⁻¹ [ 5 13 3 5 - 1- 25 169 1- 9 25 ]= ⁻¹ x & ⁻¹ [ 3 13 - 12 13 4 5 ]= ⁻¹ x & ⁻¹ [ 15-48 65 ]= ⁻¹ x & x= -33 65 aligned

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