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JEE Main20199 Jan 2019Evening ShiftMathematicsInverse Trigonometric FunctionsActual

If x = s i n - 1 sin ⁡ 10 and   y = c o s - 1   cos ⁡ 10 , then y - x is equal to:

Options

  1. A10
  2. Bπ
  3. C0
  4. D7 π

Correct answer

B. π

Step-by-step solution

From the graph of y = sin - 1 ⁡ sin ⁡ x , it is clear that sin - 1 ⁡ ( sin ⁡ 10 ) = 3 π - 10 From the graph of y = cos - 1 ⁡ cos ⁡ x It is clear that cos - 1 ⁡ cos ⁡ 10 = 4 π - 10 Hence y - x = 4 π - 10   - 3 π - 10 = π

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