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anonymous
 one year ago
Simplify: (sin Θ − cos Θ)2 − (sin Θ + cos Θ)2
a. −4sin(Θ)cos(Θ)
b. 2
c. sin^2 Θ
d. cos^2 Θ
anonymous
 one year ago
Simplify: (sin Θ − cos Θ)2 − (sin Θ + cos Θ)2 a. −4sin(Θ)cos(Θ) b. 2 c. sin^2 Θ d. cos^2 Θ

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[(\sin(\theta)\cos(\theta))^2(\sin(\theta)+\cos(\theta))^2\] Apply the identity \[a^2b^2=(a+b)(ab)\] \[\implies ((\sin(\theta)\cos(\theta))+(\sin(\theta)+\cos(\theta)))\times((\sin(\theta)\cos(\theta))(\sin(\theta)+\cos(\theta)))\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Here, we've taken \[a=\sin(\theta)\cos(\theta)\] and \[b=\sin(\theta)+\cos(\theta)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Wouldnt the answer be 0 tho? since it's cancelled out?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Nope, open the parenthesis and find out for yourself

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i still dont understand

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0hint: you can use these identities: \[\Large \begin{gathered} {\left( {\sin \theta  \cos \theta } \right)^2} = {\left( {\sin \theta } \right)^2} + {\left( {\cos \theta } \right)^2}  2\sin \theta \cos \theta \hfill \\ \hfill \\ {\left( {\sin \theta + \cos \theta } \right)^2} = {\left( {\sin \theta } \right)^2} + {\left( {\cos \theta } \right)^2} + 2\sin \theta \cos \theta \hfill \\ \end{gathered} \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Hm, it seems much more simpler to understand if you apply those identities above, do you understand them @xoamb

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[(a+b)^2=a^2+b^2+2ab\] \[(ab)^2=a^2+b^22ab\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sorry, we just don't give answers, and it seems like all you're doing is just guessing, why not at least show us some work so we can understand where exactly you are having problem understanding the concept
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