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.
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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
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
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