Let f(z) = sin(x). We want to approximate the value of sin(3). Use a base point of x = to find a tangent line approximation of f(x)=sin(z) and use your approximation to fill in the following blankos If, then sin(x)~ sin(3)~ (tangent line) Use two base points to = /2 and ₁= 3/2 to find a secant line approximation of f(x) = sin(x) and use your approximation to fill in the following blanks: If x/2 < x < 3/2, then sin(r)~ sin (3)= (secant line) What does your calculator give you for sin (3) (to 6 decimal places)? sin(3)= Which approximation was closer, tangent or secant?
Let f(z) = sin(x). We want to approximate the value of sin(3). Use a base point of x = to find a tangent line approximation of f(x)=sin(z) and use your approximation to fill in the following blankos If, then sin(x)~ sin(3)~ (tangent line) Use two base points to = /2 and ₁= 3/2 to find a secant line approximation of f(x) = sin(x) and use your approximation to fill in the following blanks: If x/2 < x < 3/2, then sin(r)~ sin (3)= (secant line) What does your calculator give you for sin (3) (to 6 decimal places)? sin(3)= Which approximation was closer, tangent or secant?
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
Related questions
Question
![Let f(x) = sin(x). We want to approximate the value of sin(3).
Use a base point of = to find a tangent line approximation of f(x) = sin(x) and use your approximation to fill in the following blanics:
(tangent line)
If
sin (3)
, then sin(x) =
≈
Use two base points zo = π/2 and ₁ = 3/2 to find a secant line approximation of f(x) = sin(z) and use your approximation to fill in the following
blanks:
If x/2 < x < 3/2, then sin(2) ~(secant line)
sin (3)
What does your calculator give you for sin (3) (to 6 decimal places)?
sin(3)=
Which approximation was closer, tangent or secant?
77B
S
31
4
Nov 4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe1b1d143-3544-4565-ae01-c2b2100e15ce%2F5d966a10-83af-4eb0-bc6c-e7739e139e34%2Fxqi05bo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let f(x) = sin(x). We want to approximate the value of sin(3).
Use a base point of = to find a tangent line approximation of f(x) = sin(x) and use your approximation to fill in the following blanics:
(tangent line)
If
sin (3)
, then sin(x) =
≈
Use two base points zo = π/2 and ₁ = 3/2 to find a secant line approximation of f(x) = sin(z) and use your approximation to fill in the following
blanks:
If x/2 < x < 3/2, then sin(2) ~(secant line)
sin (3)
What does your calculator give you for sin (3) (to 6 decimal places)?
sin(3)=
Which approximation was closer, tangent or secant?
77B
S
31
4
Nov 4
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337278461/9781337278461_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337278461/9781337278461_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning