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anonymous
 one year ago
Simplify: (sin Θ − cos Θ)2 + (sin Θ + cos Θ)2
anonymous
 one year ago
Simplify: (sin Θ − cos Θ)2 + (sin Θ + cos Θ)2

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0A. sin^2Θ B. cos^2Θ c. 2 d. 0

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0The first step is to expand the brackets. Expanding the first bracket we get \[\large (\sin\theta\cos\theta)^{2}=\cos^{2}\theta2\sin\theta \cos\theta+\cos^{2}\theta\] What do you get when you expand the second bracket?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0please help me out real quick

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0The expansion of the second bracket is \[\large \sin^{2}\theta+\sin\theta \cos\theta+\cos^{2}\theta\] Now you need to collect like terms in the sum of the two expansions and simplify.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay i understand so would the answer be A?

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0Please don't guess the answer. The sum of the two expansions is \[\large 2\sin^{2}\theta+2\cos^{2}\theta\] Now you need to simplify.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so how would i simplify this??

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0Well 2 is a common factor. So we get \[\large 2(\sin^{2}\theta+\cos^{2}\theta)\] If you know your trig identities this can be easily simplified.

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0What is the value of \[\large \sin^{2}\theta+\cos^{2}\theta=?\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0im not sure im terrible at this

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would it equal 0 maybe?

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0Not really. \[\large \sin^{2}\theta+\cos^{2}\theta=1\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so then you woiuld do 1 multiplyed by 2 and the answer would be 2?
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