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Class 12

Principal Values of Inverse Trigonometric Functions — Quiz

Five questions on principal values of inverse trigonometric functions. Pick one answer for each.

5 questions, one mark each. 3 to pass. Suggested time: 10 minutes. Your answers are not recorded.

  1. The principal value of sin⁡−1(−12)\displaystyle \sin^{-1}\left(-\tfrac{1}{2}\right) is
  2. The principal value of cos⁡−1(−32)\displaystyle \cos^{-1}\left(-\tfrac{\sqrt{3}}{2}\right) is
  3. Find sec⁡−1(2)+cot⁡−1(−3)\sec^{-1}(2) + \cot^{-1}(-\sqrt{3}).
  4. Find sin⁡−1(sin⁡2π3)\displaystyle \sin^{-1}\left(\sin\tfrac{2\pi}{3}\right).
  5. The domain of cos⁡−1(3x−2)\cos^{-1}(3x - 2) is
Unanswered questions are marked wrong.

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