Verify that the trigonometric equation is an identity. 1+ secx 1-secx 1- secx 1+ secx -=-4 cot²x secx Which of the following statements establishes the identity? OA. 1+ secx 1-secx (1+ secx)²-(1-secx)²4 secx 1-secx 1+ secx (1-secx)(1+ secx) 1-sec²x OB. 1+ secx 1-secx (1+cscx-(1-cscx 1-secx 1 secx (1-cscx)(1+cscx) OC. 1+ secx 1-secx 1- secx 1+ secx OD. 1+ secx 1-secx 1-secx 1+ secx 4cscx 1-csC²x (sinx+1)-(sinx-1) 4 sinx (sinx-1)(sinx+1) ²x-1 (cosx+1-(cosx-12 4cosx (cosx-1)(cosx+1) cos²x-1 4 secx tan x 4cScx cotx -=-4 cotx secx 4 sin x cos²x 2-4 cot²x secx = -4 cot²x secx 400SX sin ²x -4 cot²x secx

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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Verify that the
trigonometric equation is an identity.
1+ secx 1-secx
1- secx 1+ secx
-=-4 cot²x secx
Which of the following statements establishes the identity?
OA. 1+ secx 1-secx (1+ secx)²-(1-secx)²4 secx
1-secx 1+ secx (1-secx)(1+ secx)
1-sec²x
OB. 1+ secx 1-secx (1+cscx-(1-cscx
1-secx 1 secx
(1-cscx)(1+cscx)
OC. 1+ secx 1-secx
1- secx 1+ secx
OD. 1+ secx 1-secx
1-secx 1+ secx
4cscx
1-csC²x
(sinx+1)-(sinx-1)
4 sinx
(sinx-1)(sinx+1) ²x-1
(cosx+1-(cosx-12 4cosx
(cosx-1)(cosx+1) cos²x-1
4 secx
tan x
4cScx
cotx
-=-4 cotx secx
4 sin x
cos²x
2-4 cot²x secx
= -4 cot²x secx
400SX
sin ²x
-4 cot²x secx
Transcribed Image Text:Verify that the trigonometric equation is an identity. 1+ secx 1-secx 1- secx 1+ secx -=-4 cot²x secx Which of the following statements establishes the identity? OA. 1+ secx 1-secx (1+ secx)²-(1-secx)²4 secx 1-secx 1+ secx (1-secx)(1+ secx) 1-sec²x OB. 1+ secx 1-secx (1+cscx-(1-cscx 1-secx 1 secx (1-cscx)(1+cscx) OC. 1+ secx 1-secx 1- secx 1+ secx OD. 1+ secx 1-secx 1-secx 1+ secx 4cscx 1-csC²x (sinx+1)-(sinx-1) 4 sinx (sinx-1)(sinx+1) ²x-1 (cosx+1-(cosx-12 4cosx (cosx-1)(cosx+1) cos²x-1 4 secx tan x 4cScx cotx -=-4 cotx secx 4 sin x cos²x 2-4 cot²x secx = -4 cot²x secx 400SX sin ²x -4 cot²x secx
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