Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 7: Q. 88 (page 475)

Establish each identity.
$\frac{1 + \cos 胃 + \sin 胃}{1 + \cos 胃 - \sin 胃} = s e c 胃 + \tan 胃$

Short Answer

Expert verified

The left side of the given equation has been simplified to bring the right side.

Step by step solution

Step 1. Given Information

The given equation is $\frac{1 + \cos 胃 + \sin 胃}{1 + \cos 胃 - \sin 胃} = s e c 胃 + \tan 胃$

Step 2. Calculation

Consider the left side of the given equation and simplify to bring the right side in order to establish the equation.

$\frac{1 + \cos 胃 + \sin 胃}{1 + \cos 胃 - \sin 胃} = \frac{\frac{1 + \cos 胃 + \sin 胃}{\cos 胃}}{\frac{1 + \cos 胃 - \sin 胃}{\cos 胃}} = \frac{\frac{1}{\cos 胃} + \frac{\cos 胃}{\cos 胃} + \frac{\sin 胃}{\cos 胃}}{\frac{1}{\cos 胃} + \frac{\cos 胃}{\cos 胃} - \frac{\sin 胃}{\cos 胃}} = \frac{s e c 胃 + 1 - \tan 胃}{s e c 胃 + 1 - \tan 胃} = \frac{\tan 胃 + s e c 胃 - (s e c^{2} 胃 - \tan^{2} 胃)}{\tan 胃 - s e c 胃 + 1} = \frac{\tan 胃 + s e c 胃 - (s e c 胃 - \tan 胃) (s e c 胃 + \tan 胃)}{\tan 胃 - s e c 胃 + 1} = \frac{(\tan 胃 + s e c 胃) (1 - (s e c 胃 + \tan 胃))}{\tan 胃 - s e c 胃 + 1} = \tan 胃 + s e c 胃$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Establish each identity.
$\frac{1 + \cos 胃 + \sin 胃}{1 + \cos 胃 - \sin 胃} = s e c 胃 + \tan 胃$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Discrete Mathematics

Pure Maths

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

91影视

Establish each identity.1+cos胃+sin胃1+cos胃-sin胃=sec胃+tan胃

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Discrete Mathematics

Pure Maths

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Establish each identity.
$\frac{1 + \cos 胃 + \sin 胃}{1 + \cos 胃 - \sin 胃} = s e c 胃 + \tan 胃$