Explanation Definition used: The trigonometric functions tan x = sin x cos x ; where cos x ≠ 0 and sec x = 1 cos x ; where cos x ≠ 0 . Calculation: Given that ( sin x ) 2 + ( cos x ) 2 = 1 for all x . Divide both sides of the equation ( sin x ) 2 + ( cos x ) 2 = 1 by ( cos x ) 2 where cos x ≠ 0 for all x . ( sin x ) 2 + ( cos x ) 2 ( cos x ) 2 = 1 ( cos x ) 2 ( sin x ) 2 ( cos x ) 2 + ( cos x ) 2 ( cos x ) 2

Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.

15th Edition

ISBN: 9781323047620

Author: Barnett, Ziegler, Byleen

Publisher: Pearson Education

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Chapter 8.2, Problem 25E

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To show: The equation (tanx)2+1=(secx)2 is true for all x.

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Chapter 8.2, Problem 24E

Chapter 8.2, Problem 26E

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Determine whether each function is an injection and determine whether each is a surjection.

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Chapter 8 Solutions

Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.

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The equation ( tan x ) 2 + 1 = ( sec x ) 2 is true for all x .

Solution Summary: The author explains that the trigonometric functions mathrmtanx=

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To show: The equation (tanx)2+1=(secx)2 is true for all x.

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Chapter 8 Solutions