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Mathematics 22 Online
OpenStudy (aravindg):

wel i hav some doubts on trigonometruy wen i did revision can anyone help

OpenStudy (aravindg):

what is the formula for cos 2A *cos 4A *cos 8A ETC

OpenStudy (anonymous):

cos2A=1-sinA i think..

OpenStudy (anonymous):

no

OpenStudy (anonymous):

meant 1-sin2A

OpenStudy (anonymous):

oh, no? ok

OpenStudy (aravindg):

11+cos2a is 2sin^2A

OpenStudy (ash2326):

cos 2A= cos^2 A- sin ^2 A

OpenStudy (anonymous):

\[\cos^2A=1-\sin^2A\] but it's not suqared

OpenStudy (aravindg):

.........

OpenStudy (anonymous):

no formula for this http://www.wolframalpha.com/input/?i=simplify+cos+2A+*cos+4A+*cos+8A

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)

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

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?

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

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

OpenStudy (aravindg):

wow perfect

OpenStudy (vishal_kothari):

http://www.mediafire.com/?t2tdkmznnzq

OpenStudy (vishal_kothari):

handbook of mathematics...

OpenStudy (vishal_kothari):

it's not mine habit...

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