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Class 12

Properties of Inverse Trigonometric Functions — Quiz

Five questions on the properties 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 value of tan⁡−15+cot⁡−15\tan^{-1}5 + \cot^{-1}5 is
  2. Find tan⁡−123+tan⁡−115\displaystyle \tan^{-1}\tfrac{2}{3} + \tan^{-1}\tfrac{1}{5}.
  3. Find sin⁡(cos⁡−1513)\displaystyle \sin\left(\cos^{-1}\tfrac{5}{13}\right).
  4. 2tan⁡−112\displaystyle 2\tan^{-1}\tfrac{1}{2} equals
  5. If sin⁡−1x+sin⁡−1y=π3\displaystyle \sin^{-1}x + \sin^{-1}y = \tfrac{\pi}{3}, find cos⁡−1x+cos⁡−1y\cos^{-1}x + \cos^{-1}y.
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