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NDA2012MathematicsInverse Trigonometric FunctionsActual

If ⁻¹ 2, ⁻¹ 3 are two angles of a triangle, then what is the third angle?

Options

  1. A⁻¹ 2
  2. B⁻¹ 4
  3. C/ 4
  4. D/ 3

Correct answer

C. / 4

Step-by-step solution

gathered ₁= ⁻¹ 2 ₂= ⁻¹ 3, ₃=? ₁+ ₂+ ₃=180^ ⁻¹ 2+ ⁻¹ 3+ ₃=180^ ⁻¹ ( 2+3 1-2.3 )+ ₃=180^ ⁻¹ ( 5 -5 )+ ₃=180^ 135+ ₃=180^ ₃=45 . gathered

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