Verify the identity.sec x- tan 2x= sec x- tan xsec x+ tan xWhich of the following four statements establishes the identity?O A.sec x- tan2(sec x- tan x)( sec x- tan x)= sec x- tan xsec x+ tan xsec x+ tan xO B.2sec x- tanx(sec x- tan x)( sec x+ tan x)= sec x- tan xsec x+ tan xsec x- tan xOC.sec x- tan x2sec xtanx= sec x- tan xsec x+ tan xsec xtan xO D. sec2 x- tanx(sec x- tan x)( sec x+ tan x)= sec x- tan xsec x+ tan xsec x+ tan x

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Description: Verify the identity.sec x- tan 2x= sec x- tan xsec x+ tan xWhich of the following four statements establishes the identity?O A.sec x- tan2(sec x- tan x)( sec x- tan x)= sec x- tan xsec x+ tan xsec x+ tan xO B.2sec x- tanx(sec x- tan x)( sec x+ tan x

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Math

Trigonometry

Verify the identity. sec? x- tan? x 2 = sec x- tan x sec x+ tan x Which of the following four statements establishes the identity? O A. sec? x- tan² x tan? x sec x- tan x)(sec x- tan x) = sec x- tan x sec x+ tan x sec x+ tan x OB. O B. sec? x- tan? x (sec x- tan x)( sec x+ tan x) = sec x- tan x sec x+ tan x sec x- tan x OC. sec? x- tan? x sec? x tan2 x = sec x- tan x sec x+ tan x sec x tan x O D. sec? x- tan x x- tan x (sec x- tan x)( sec x+ tan x) = sec x- tan x sec x+ tan x sec x+ tan x II

Verify the identity. sec? x- tan? x 2 = sec x- tan x sec x+ tan x Which of the following four statements establishes the identity? O A. sec? x- tan² x tan? x sec x- tan x)(sec x- tan x) = sec x- tan x sec x+ tan x sec x+ tan x OB. O B. sec? x- tan? x (sec x- tan x)( sec x+ tan x) = sec x- tan x sec x+ tan x sec x- tan x OC. sec? x- tan? x sec? x tan2 x = sec x- tan x sec x+ tan x sec x tan x O D. sec? x- tan x x- tan x (sec x- tan x)( sec x+ tan x) = sec x- tan x sec x+ tan x sec x+ tan x II

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 15DE

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Concept explainers

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.

Topic Video

Question

Verify the identity.
sec x- tan 2x
= sec x- tan x
sec x+ tan x
Which of the following four statements establishes the identity?
O A.
sec x- tan
2
(sec x- tan x)( sec x- tan x)
= sec x- tan x
sec x+ tan x
sec x+ tan x
O B.
2
sec x- tanx
(sec x- tan x)( sec x+ tan x)
= sec x- tan x
sec x+ tan x
sec x- tan x
OC.
sec x- tan x
2
sec x
tanx
= sec x- tan x
sec x+ tan x
sec x
tan x
O D. sec2 x- tanx
(sec x- tan x)( sec x+ tan x)
= sec x- tan x
sec x+ tan x
sec x+ tan x

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