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KVPY2020MathematicsInverse Trigonometric Functions

Assume that 3 . 13 ≤ π ≤ 3 . 15 . The integer closest to the value of sin - 1 ( sin 1 cos 4 + cos 1   sin 4 ) , where 1 and 4 appearing in sin and cos are given in radians, is:

Options

  1. A- 1
  2. B1
  3. C3
  4. D5

Correct answer

A. - 1

Step-by-step solution

θ = sin - 1 ( sin 5 ) = - ( 2 π - 5 ) = 5 - 2 π ≈ - 1 . 26   as   π ≈ 3 . 13

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