Verify the identity. sint- cos t=2 sin t-1 Which of the following four statements establishes the identity? O A. sin t- cos* t= (sin? t- cos? t) (sin?t- cos? t) = 2 sin? t-1 ,??- cos² 1) = 2 sint- cos O B. 4. si n* t- cos* t= (cost) (sin? t+ cos t) = 2 sin? t- 1 Oc. O C. sin t- cos t= 4. (sin t+ cos? t) (sin? t- cos? t) = 2 sin? t-1 OD. sin“ t- cos t= (sin²t) (sint+ cost) = 2 sin t-1

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
14
Verify the identity.
sint- cost=2 sint- 1
Which of the following four statements establishes the identity?
O A.
4
t- cos
sin
= (sin? t-
2
t- cos
s² ) (sin²
t- cos t) =2sin? t-
ов.
sin
cos t= (cos? t) (sin? t+ cos
os²t) = 2 sin t- 1
t- cos
t%3D
os t= (sin² t+ cos'
s²?) (sin? t- cos? t) =2 sin?
sin' t- cos
t%3D
t- 1
D.
4
sin t- cos t= (sin? t) (sin² t+ cos
t) = 2 sin
2
t- 1
C.
Transcribed Image Text:Verify the identity. sint- cost=2 sint- 1 Which of the following four statements establishes the identity? O A. 4 t- cos sin = (sin? t- 2 t- cos s² ) (sin² t- cos t) =2sin? t- ов. sin cos t= (cos? t) (sin? t+ cos os²t) = 2 sin t- 1 t- cos t%3D os t= (sin² t+ cos' s²?) (sin? t- cos? t) =2 sin? sin' t- cos t%3D t- 1 D. 4 sin t- cos t= (sin? t) (sin² t+ cos t) = 2 sin 2 t- 1 C.
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