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Question: Answered & Verified by Expert

If x takes all permissible negative values, then sin-1x is equal to

MathematicsInverse Trigonometric FunctionsJEE Main
Options:
  • A -cos-11-x2
  • B cos-1x2-1
  • C π-cos-11-x2
  • D cos-11-x2
Solution:
1846 Upvotes Verified Answer
The correct answer is: -cos-11-x2
Let x=-y, y>0

sin-1x=sin-1-y

=-sin-1y

=-cos-11-y2

=-cos-11-x2

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