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OpenStudy (ash2326):
aravind do want the simplification of cos 2A* cos 4A * cos 8A
OpenStudy (ash2326):
*you
OpenStudy (aravindg):
no i think there is a formula
OpenStudy (aravindg):
for n terms
OpenStudy (aravindg):
somewat like sin 2^n alpha/(2^n sin alpha)
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OpenStudy (anonymous):
ah it doesn't end
idk i haven't learn such formula in trig course
OpenStudy (aravindg):
its there tomas
OpenStudy (anonymous):
you are from different country...
OpenStudy (aravindg):
:P but math is universal :P
OpenStudy (anonymous):
but we don't learn same things
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OpenStudy (anonymous):
so as i said i didn't learn it in my trig course
OpenStudy (aravindg):
k
OpenStudy (ash2326):
aravind I'm trying to think, you're right that there is a formula, but i'm not able to recall
OpenStudy (aravindg):
oh thn next doubt u find it and post here later
OpenStudy (aravindg):
u knw solutions of triangles?
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OpenStudy (ash2326):
not very much but I'll try,
OpenStudy (aravindg):
:O
OpenStudy (aravindg):
in a triangle (a+b+c)(b+c-a)=kbc if 0<k<4 prove
OpenStudy (aravindg):
??
OpenStudy (aravindg):
ash
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OpenStudy (ash2326):
yeah aravind i'm thinking
OpenStudy (diyadiya):
\[Cos2x=1-2\sin^2x\]
OpenStudy (diyadiya):
\[Cos2x=\cos^2x-\sin^2x\]
OpenStudy (diyadiya):
\[Cos2x=2\cos^2x-1\]
OpenStudy (ash2326):
yeah, i can help with you second question
equation 1....(a+b+c)(b+c-a)= b^2+c^2-a^2+2bc
now we know cosine formula a^2=b^2+c^2-2bc*cos A
so here b^2+c^2-a^2=2bc cos A, subsitute this in equation 1
so
2bc cos A+ 2bc
2bc( cos A+1)
now cos A 's max value is 1 and minimum 0
so the left side can be
0 or 4bc
so k can vary from 0 to 4
0<k<4
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