Verify that the equation is an identity. tan x- sec*x =1-2 secx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 19RE
icon
Related questions
Topic Video
Question
Verify that the equation is an identity.
tan *x- sec*x=1– 2 sec?x
To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations
and transform the expression at each step.
Factor the
tan *x- sec*x
(tan?x+ sec?x)
difference of
two squares.
= O)(tan 2x+ sec2x)
(Type an exact answer in simplified form.)
Choose an identity, and use it to transform tan x. Then simplify.
=1-2 sec?x
Transcribed Image Text:Verify that the equation is an identity. tan *x- sec*x=1– 2 sec?x To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step. Factor the tan *x- sec*x (tan?x+ sec?x) difference of two squares. = O)(tan 2x+ sec2x) (Type an exact answer in simplified form.) Choose an identity, and use it to transform tan x. Then simplify. =1-2 sec?x
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Fundamentals of Trigonometric Identities
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage