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Verify that the equation is an identity. sec^x-tan^x=2 sec²x-1 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 sec^x-tan^x=( 7)(sec²x + tan²x) difference of two squares. =(sec ²x+tan ²x) (Type an exact answer in simplified form.) Choose an identity, and use it to transform tan 2x. Then simplify. = 2 sec ²x-1

Verify that the equation is an identity. sec^x-tan^x=2 sec²x-1 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 sec^x-tan^x=( 7)(sec²x + tan²x) difference of two squares. =(sec ²x+tan ²x) (Type an exact answer in simplified form.) Choose an identity, and use it to transform tan 2x. Then simplify. = 2 sec ²x-1

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 28RE
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Verify that the equation is an identity. sec^x-tan 4x=2 sec ²x-1 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 difference of two squares. sec^x-tan x ( >(sec ²x + tan²x) = ((sec ²x + tan ²x) (Type an exact answer in simplified form.) Choose an identity, and use it to transform tan 2x. Then simplify. = 2 sec ²x-1
Transcribed Image Text:Verify that the equation is an identity. sec^x-tan 4x=2 sec ²x-1 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 difference of two squares. sec^x-tan x ( >(sec ²x + tan²x) = ((sec ²x + tan ²x) (Type an exact answer in simplified form.) Choose an identity, and use it to transform tan 2x. Then simplify. = 2 sec ²x-1
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. sec^x-tan 4x = ( Factor the difference of two squares. ]) (sec ²x + tan²x) = ((sec²x + tan ²x) (Type an exact answer in simplified form.) Choose an identity, and use it to transform tan 2x. Then simplif = 2 sec ²x-1 Apply a reciprocal identity. Apply a quotient identity. Apply a Pythagorean identity.
Transcribed Image Text: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. sec^x-tan 4x = ( Factor the difference of two squares. ]) (sec ²x + tan²x) = ((sec²x + tan ²x) (Type an exact answer in simplified form.) Choose an identity, and use it to transform tan 2x. Then simplif = 2 sec ²x-1 Apply a reciprocal identity. Apply a quotient identity. Apply a Pythagorean identity.
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