Verify the identity. sec² x - sin 2 x = sec x + sin x sec x- sin x Which of the following four statements establishes the identity? OA. 2 2 sec X- x - sin x (sec x+ sin x)(sec x - sin x) = sec. x + sin: sec x - sin x sec x - sin x OB. 2 2 sec x - sin x (sec x + sin x)(sec x - sin x) sec x - sin x = sec x + sin x sec x + sin x ○ C. 2 secx- sin x - sin 2 X (sec x + sin x)(sec x+ sin x) sec x - sin x sec x - sin x = sec x + sin x ○ D. 2 sec x - sin 2 X 2 sec X sec x - sin x sec x 2 sin X sin x = sec x + sin x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Verify the identity.
sec² x - sin 2 x
= sec x + sin x
sec x- sin x
Which of the following four statements establishes the identity?
OA.
2
2
sec
X-
x - sin x
(sec x+ sin x)(sec x - sin x)
= sec. x + sin:
sec x - sin x
sec x - sin x
OB.
2
2
sec x - sin x
(sec x + sin x)(sec x - sin x)
sec x - sin x
= sec x + sin x
sec x + sin x
○ C.
2
secx- sin
x - sin 2
X
(sec x + sin x)(sec x+ sin x)
sec x - sin x
sec x - sin x
= sec x + sin x
○ D.
2
sec
x - sin 2
X
2
sec X
sec x - sin x
sec x
2
sin X
sin x
= sec x + sin x
Transcribed Image Text:Verify the identity. sec² x - sin 2 x = sec x + sin x sec x- sin x Which of the following four statements establishes the identity? OA. 2 2 sec X- x - sin x (sec x+ sin x)(sec x - sin x) = sec. x + sin: sec x - sin x sec x - sin x OB. 2 2 sec x - sin x (sec x + sin x)(sec x - sin x) sec x - sin x = sec x + sin x sec x + sin x ○ C. 2 secx- sin x - sin 2 X (sec x + sin x)(sec x+ sin x) sec x - sin x sec x - sin x = sec x + sin x ○ D. 2 sec x - sin 2 X 2 sec X sec x - sin x sec x 2 sin X sin x = sec x + sin x
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