Download
1 / 17

Check Homework - PowerPoint PPT Presentation


  • 95 Views
  • Uploaded on

Check Homework. PRE. Lesson 7.4: Inverse Trig Functions. Objectives: To define the inverse of the sine, cosine, and tangent functions. To understand the domain and range of the inverse trig functions. Inverse Sine. Inverse Sine (arcsin).

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Check Homework' - maxwell-sanders


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

PRE

Lesson 7.4: Inverse Trig Functions

  • Objectives:

  • To define the inverse of the sine, cosine, and tangent functions.

  • To understand the domain and range of the inverse trig functions.



Inverse Sine (arcsin)

The inverse of the function sin is the function sin–1 defined by: for –1 ≤ x ≤ 1 and –π/2 ≤ y ≤π/2.

sin y = x sin–1x = y


Example 1. Find the exact value of the expression if it is defined:

  • sin–1 ½

  • sin–1 (–½)

  • sin–1 (3/2)


Inverse Cosine defined:


Inverse Cosine (arccos) defined:

The inverse cosine functionis the function cos–1with domain [–1, 1] and range [0, π], defined by:

cos y = x cos–1 x = y


Example 2. Find the exact value of the expression if it is defined:

  • cos–1

  • cos–1 (0)

  • cos–1 (5/7)


Inverse Tangent defined:


Inverse Tangent (arctan) defined:

The inverse tangent functionis the function tan–1with domain and range (–π/2, π/2) defined by: tan y = x tan–1 x = y


Example 3. Find the exact value of the expression if it is defined:

  • tan–1 (1)

  • tan–1 ( )

  • tan–1 (-20)



Classwork: defined.Book; pg. 557: 1,4,6,7,10,11,13,16,18,

21, 26,53,54


Classwork: defined.Book; pg. 557: 1,4,6,7,10,11,13,16,18,

21, 26,53,54


ad