Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q 85.

Expert-verified

Precalculus Mathematics for Calculus

Found in: Page 544

Book edition 7th Edition

Author(s) James Stewart, Lothar Redlin, Saleem Watson

Pages 948 pages

ISBN 9781337067508

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

Proving Identities
Verify the identity $\frac{1 - s i n x}{1 + s i n x} = {(s e c x - t a n x)}^{2}$

The expression $\frac{1 - s i n x}{1 + s i n x} = {(s e c x - t a n x)}^{2}$ is an identity.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

An expression $\frac{1 - \sin x}{1 + \sin x} = {(\sec x - \tan x)}^{2}$

Step 2. Concept used

Split the expression into two halves, LHS and RHS, for such a query. Separate them and simplify them. It's an identity if both results are the same.

Step 3. Calculation

Now, simplify RHS of $\frac{1 - \sin x}{1 + \sin x} = {(\sec x - \tan x)}^{2}$

Most popular questions for Math Textbooks

Simplifying Trigonometric Expressions-

Simplify the trigonometric expression $(\frac{1 + c o t A}{cosec A})$

Proving Identities

Verify the identity $\frac{s e c u - 1}{s e c u + 1} = \frac{t a n u - s i n u}{t a n u + s i n u}$

Simplifying Trigonometric Expressions-

Simplify the trigonometric expression $(c o s^{3} x + s i n^{2} x \times c o s x)$

Use an Addition or Subtraction Formula to find the exact value of the expression, as Demonstrated.

$\cos \frac{11 π}{12}$

Trigonometric Substitution Make the indicated trigonometric substitution in the given algebraic expression and simplify. Assume that $0 < θ < \frac{π}{2}$

$\sqrt{x^{2} - 1}, x = s e c θ$

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free