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Question: Answered & Verified by Expert
If x=sin-1sin10  and y=cos-1cos10, then y-x is equal to:
MathematicsInverse Trigonometric FunctionsJEE MainJEE Main 2019 (09 Jan Shift 2)
Options:
  • A 10
  • B π
  • C 0
  • D 7π
Solution:
1599 Upvotes Verified Answer
The correct answer is: π



From the graph of y=sin-1sinx, it is clear that sin-1(sin10)=3π-10



From the graph of y=cos-1cosx

It is clear that cos-1cos10=4π-10

Hence y-x=4π-10 -3π-10=π

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