72-75. {Use of Tech} Equations of tangent lines a. Find an equation of the line tangent to the following curves at the given value of x. b. Use a graphing utility to plot the curve and the tangent line. π 3 3 72. y = 4 sinx cosxx = 73. y = 1+2 sinx; x = 74. y=cscx; x = 75.y= COSX 1–cosx TT 4 ; x = T 6 T 3
72-75. {Use of Tech} Equations of tangent lines a. Find an equation of the line tangent to the following curves at the given value of x. b. Use a graphing utility to plot the curve and the tangent line. π 3 3 72. y = 4 sinx cosxx = 73. y = 1+2 sinx; x = 74. y=cscx; x = 75.y= COSX 1–cosx TT 4 ; x = T 6 T 3
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
Can you answer #75?
![### 72–75. Equations of Tangent Lines {Use of Tech}
#### a. Task:
Find an equation of the line tangent to the following curves at the given value of \(x\).
#### b. Task:
Use a graphing utility to plot the curve and the tangent line.
---
**72.**
\[
y = 4 \sin x \cos x; \, x = \frac{\pi}{3}
\]
**73.**
\[
y = 1 + 2 \sin x; \, x = \frac{\pi}{6}
\]
**74.**
\[
y = \csc x; \, x = \frac{\pi}{4}
\]
**75.**
\[
y = \frac{\cos x}{1 - \cos x}; \, x = \frac{\pi}{2}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a487c5b-631b-4d04-995d-e7c019732a55%2Fb59baca7-6c07-44e7-bd32-f9e26b74afa6%2F8wbiajj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### 72–75. Equations of Tangent Lines {Use of Tech}
#### a. Task:
Find an equation of the line tangent to the following curves at the given value of \(x\).
#### b. Task:
Use a graphing utility to plot the curve and the tangent line.
---
**72.**
\[
y = 4 \sin x \cos x; \, x = \frac{\pi}{3}
\]
**73.**
\[
y = 1 + 2 \sin x; \, x = \frac{\pi}{6}
\]
**74.**
\[
y = \csc x; \, x = \frac{\pi}{4}
\]
**75.**
\[
y = \frac{\cos x}{1 - \cos x}; \, x = \frac{\pi}{2}
\]
Expert Solution
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 4 steps with 4 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning