Inverse trigonometric functions

  1. \rhd Intro to arcsine (or \sin^{-1}x) (10:35)
    • What is \sin^{-1}\left(\dfrac{\sqrt 2}{2}\right)?
    • A discussion on the domain and range of \sin^{-1}(x).
    • Find \sin^{-1}\left(\dfrac{-\sqrt 3}{2}\right).
  2. \rhd Intro to arctangent (or \tan^{-1}x) (10:06)
    • What is \tan^{-1}(-1)?
    • A discussion on the domain and range of \tan^{-1}(x).
  3. \rhd Intro to arccosine (or \cos^{-1}x) (13:37)
    • What is \cos^{-1}\left(-\dfrac{1}{2}\right)?
    • A discussion on the domain and range of \cos^{-1}(x).
  4. \rhd Using inverse trigonometric functions with calculator (3:34) Javier is calibrating sophisticated, medical imaging equipment. The manual reports that the tangent of a particular angle is 1. What should Javier do to find the angle? Select all that apply.
      1. Type “1/\tan(1)” into his calculator.
      2. Get more information. There are multiple angles that fit this description.
      3. Type “\pi-\tan^{-1}(1)” into his calculator.
      4. Type “\tan^{-1}(1)” into his calculator.