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

Pearson eText for Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version -- Instant Access (Pearson+)

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ISBN: 9780137400126

Author: Raymond Barnett, Michael Ziegler

Publisher: PEARSON+

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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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Pearson eText for Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version -- Instant Access (Pearson+)

Ch. 8.1 - Find the degree measure of 1 rad.Ch. 8.1 - Without using a calculator, find: (A)cot 45 (B)cos...Ch. 8.1 - Solve the right triangle in Figure 14. Round side...Ch. 8.1 - Solve the right triangle in Figure 16. Round...Ch. 8.1 - Repeat Example 5 assuming that the man is standing...Ch. 8.1 - Prob. 1ED Ch. 8.1 - Prob. 1E Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...

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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