   Chapter 7.1, Problem 82E ### Precalculus: Mathematics for Calcu...

7th Edition
James Stewart + 2 others
ISBN: 9781305071759

#### Solutions

Chapter
Section ### Precalculus: Mathematics for Calcu...

7th Edition
James Stewart + 2 others
ISBN: 9781305071759
Textbook Problem

# Proving Identities Verify the identity.82. sec v − tan v = 1 sec v + tan v

To determine

To show: The given identity, that is secυtanυ=1secυ+tanυ .

Explanation

Proof:

Simplify the left hand side of the given expression by multiplying the numerator and denominator by secυ+tanυ as follows:

secυtanυ=(secυtanυ)(secυ+tanυ)secυ+tanυ=sec2υtan2υsecυ+tanυ

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