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Prove that the following identity is true. sec x + tan x = sec x - tan x We begin by multiplying the numerator and the denominator of the left side of the equation by the conjugate. We can then use a Pythagorean Identity on the numerator. sec x + tan x - tan x sec x + tan x = 1 sec x - tan x - tan? x %3D sec x - tan x sec x - tan x

Prove that the following identity is true. sec x + tan x = sec x - tan x We begin by multiplying the numerator and the denominator of the left side of the equation by the conjugate. We can then use a Pythagorean Identity on the numerator. sec x + tan x - tan x sec x + tan x = 1 sec x - tan x - tan? x %3D sec x - tan x sec x - tan x

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 65E
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Prove that the following identity is true. 1 sec x + tan x = sec x - tan x en Shot !...7.59 PM We begin by multiplying the numerator and the denominator of the left side of the equation by the conjugate. We can then use a Pythagorean Identity on the numerator. sec x + tan x tan x sec x + tan x = sec x - tan x en Shot 1...8.07 PM – tan² x sec x - tan x 1 en Shot 1...8.27 PM sec x tan x Need Help? Read It
Transcribed Image Text:Prove that the following identity is true. 1 sec x + tan x = sec x - tan x en Shot !...7.59 PM We begin by multiplying the numerator and the denominator of the left side of the equation by the conjugate. We can then use a Pythagorean Identity on the numerator. sec x + tan x tan x sec x + tan x = sec x - tan x en Shot 1...8.07 PM – tan² x sec x - tan x 1 en Shot 1...8.27 PM sec x tan x Need Help? Read It
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