Inverse trigonometric functions

Intro to arcsine (or ) (10:35)
- What is $\sin^{-1}\left(\dfrac{\sqrt 2}{2}\right)$ ?
- A discussion on the domain and range of $\sin^{-1}(x)$ .
- Find $\sin^{-1}\left(\dfrac{-\sqrt 3}{2}\right)$ .
Intro to arctangent (or ) (10:06)
- What is $\tan^{-1}(-1)$ ?
- A discussion on the domain and range of $\tan^{-1}(x)$ .
Intro to arccosine (or ) (13:37)
- What is $\cos^{-1}\left(-\dfrac{1}{2}\right)$ ?
- A discussion on the domain and range of $\cos^{-1}(x)$ .
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 . What should Javier do to find the angle? Select all that apply.
1. 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.

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The OpenLab at City Tech:A place to learn, work, and share

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