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AP EAMCET2009MathematicsInverse Trigonometric Functions

aligned ⁻¹ ( -1 2 )-2 ⁻¹ ( 1 2 ) & +3 ⁻¹ ( -1 2 ) & -4 ⁻¹(-1) equals aligned

Options

  1. A19 12
  2. B35 12
  3. C47 12
  4. D43 12

Correct answer

D. 43 12

Step-by-step solution

aligned & ⁻¹ (- 1 2 )-2 ⁻¹ ( 1 2 )+3 ⁻¹ ( array r .- 1 2 ) -4 ⁻¹(-1) array . & = - ⁻¹ ( 1 2 )-2 ( 6 )+3 ( - ⁻¹ ( 1 2 ) ) & +4 ⁻¹(1) & = - 3 - 3 +3 ( - 4 )+4 4 & = 3 +3 3 4 + & = 43 12 aligned

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