A bit more practice in Section 47b Analysis of the Inverse Sine Function 1 1 D R Continuous Increasing Symmetry Origin odd func Bounded Abs Max of at x 1 Abs Min of at ID: 486331
Download Presentation The PPT/PDF document "Inverse Trigonometric Functions" is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
Slide1
Inverse Trigonometric Functions
A bit more practice in Section 4.7bSlide2
Analysis of the Inverse Sine Function
1
–1
D:
R:
Continuous
Increasing
Symmetry: Origin (odd
func
.)
Bounded
Abs. Max. of at
x
= 1
Abs. Min. of at
x
= –1
No Asymptotes
No End Behavior (bounded domain)Slide3
Analysis of the Inverse Cosine Function
D:
R:
Continuous
Decreasing
Symmetry: About the point
Bounded
Abs. Max. of at
x
= –1
Abs. Min. of at
x
= 1
No Asymptotes
No End Behavior (bounded domain)
1
–1Slide4
Analysis of the Inverse Tangent Function
D:
R:
Continuous
Increasing
Symmetry: Origin (odd
func
.)
Bounded
No Local
Extrema
Horizontal Asymptotes:
End Behavior:Slide5
Guided Practice
Use a calculator to find the approximate value. Express your
a
nswer in both degrees and radians.
(a)
(b)
(c)Slide6
A note about
composing
trigonometric
and inverse trigonometric functions…
The following equations are
always
true whenever theyare defined:
On the other hand, the following equations are only true for
x
values in the “restricted” domains of sin,
cos
, and tan:Slide7
Whiteboard
Practice…
Find the exact value without a calculator.
(a)
Evaluate this inverse portion first…
(b)
(c)Slide8
Whiteboard
Practice…
Find the exact value without a calculator.
(d)
(e)