Mathematics
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OpenStudy (anonymous):
Find the three formulas for cos 2(theta).
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hartnn (hartnn):
i have 4
OpenStudy (anonymous):
you do?
hartnn (hartnn):
but i''l give 3 only
you know any 1?
OpenStudy (anonymous):
Cos2 Theta= Cos(Theta +theta).
hartnn (hartnn):
no.....
you know this one
cos 2x = cos^2x-sin^2x
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OpenStudy (anonymous):
yes
hartnn (hartnn):
now use sin^2x+cos^2x=1
hartnn (hartnn):
so whats cos^2x from there?
OpenStudy (anonymous):
1-sin squared theta?
hartnn (hartnn):
yes, plug that in cos 2x formula
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OpenStudy (anonymous):
1-sin squared theta- sin squared theta?
OpenStudy (anonymous):
1-2sin squared theta?
hartnn (hartnn):
yes., thats another formula :)
hartnn (hartnn):
now last
hartnn (hartnn):
whats cos^2x from there ......from sin^2x +cos^2x=1
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OpenStudy (anonymous):
cos squared theta=1-sin squared theta?
OpenStudy (anonymous):
or ehh 1- sin squared theta=1-sin squared theta
hartnn (hartnn):
thats done right?
OpenStudy (anonymous):
1=1
hartnn (hartnn):
sin^2 x =1-cos^2x
put this in cos 2x formula
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OpenStudy (anonymous):
hmm...
OpenStudy (anonymous):
cos squared theta+sin squared theta=1 but isn't the formula...
OpenStudy (anonymous):
but could you do sin squared theta=1-1-sin squared theta?
OpenStudy (anonymous):
2 sin squared theta=1-1
OpenStudy (anonymous):
that would equal zero though
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hartnn (hartnn):
i mean sin^2 x =1-cos^2x
in cos^2x-sin^2x
hartnn (hartnn):
cos^2x - (1-cos^2x) =...?
OpenStudy (anonymous):
2 cos squared theta-1?
hartnn (hartnn):
there you go, 3rd formula
OpenStudy (anonymous):
ty, son goku
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hartnn (hartnn):
welcome ^_^