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In 3954, the polar coordinates of a point are | Ch 9.1 - 41

Precalculus Enhanced with Graphing Utilities | 6th Edition | ISBN: 9780132854351 | Authors: Michael Sullivan ISBN: 9780132854351 232

Solution for problem 41 Chapter 9.1

Precalculus Enhanced with Graphing Utilities | 6th Edition

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Precalculus Enhanced with Graphing Utilities | 6th Edition | ISBN: 9780132854351 | Authors: Michael Sullivan

Precalculus Enhanced with Graphing Utilities | 6th Edition

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Problem 41

In 3954, the polar coordinates of a point are given. Find the rectangular coordinates of each point.

Step-by-Step Solution:
Step 1 of 3

MTH 132 ­ Lecture 9 ­ Trigonometric Derivatives Sine and Cosine addition ● sin(a+b) = sin(a)cos(b)+cos(a)sin(b) ● cos(a+b) = cos(a)cos(b)­sin(a)sin(b) Derivative of Sine ● sin(x)’ = cos(x) Sine Proof ● [ sin(x+h) ­ sin(x) ] / h ● [ Sin(x)cos(h) + cos(x)sin(h) ­ sin(x) ] / h ● Cos(x) * sin(h)/h ​ sin(x) * (cos(h) ­ 1)/h ○ [cos(h) ­1]/h always = 0 ● Simplify to get cos x as h approaches 0. Cosine Derivative ● cos(x)’ = ­sinx Cosine Proof ● f(x) = cosx ● f’(x) = limit h approaches 0 [ f(x+h) ­ f(x) ]/ h ● cos(x+h) ­ cos(x) = cos(x)cos(h) ­ sin(x)sin(h) ­ cos(x) ● cos(x)*[cos(h)­1]/h ­ sinx*sin(h)/h ● sin^2x+cos^2x = 1 ● (sin^2x+cos^2x )’= 1’ ● (sinx*sinx)’ + (cosx*

Step 2 of 3

Chapter 9.1, Problem 41 is Solved
Step 3 of 3

Textbook: Precalculus Enhanced with Graphing Utilities
Edition: 6
Author: Michael Sullivan
ISBN: 9780132854351

The full step-by-step solution to problem: 41 from chapter: 9.1 was answered by , our top Math solution expert on 01/11/18, 01:38PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 114 chapters, and 8075 solutions. Since the solution to 41 from 9.1 chapter was answered, more than 256 students have viewed the full step-by-step answer. The answer to “In 3954, the polar coordinates of a point are given. Find the rectangular coordinates of each point.” is broken down into a number of easy to follow steps, and 17 words. Precalculus Enhanced with Graphing Utilities was written by and is associated to the ISBN: 9780132854351. This textbook survival guide was created for the textbook: Precalculus Enhanced with Graphing Utilities, edition: 6.

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In 3954, the polar coordinates of a point are | Ch 9.1 - 41