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Mathematics 19 Online
OpenStudy (dls):

cos36?

hartnn (hartnn):

really ?

hartnn (hartnn):

without calcy ?

hartnn (hartnn):

first can u find sin 18 without calcy ?

OpenStudy (dls):

noo :/

hartnn (hartnn):

pretty standard

hartnn (hartnn):

let x= 18 5x = 90 3x = 90-2x now take sin on both sides.

hartnn (hartnn):

sin 3x = sin(90-2x) sin 3x = cos 2x

hartnn (hartnn):

now put the formula fo sin 3x and cos 2x in terms of powers of sin x only.

hartnn (hartnn):

u get a cubic in sin x. solve it.

OpenStudy (dls):

wait,theres a formula for sin3x? :P

hartnn (hartnn):

absolutely.

OpenStudy (dls):

:O

hartnn (hartnn):

sin 3x = 3sin x - 4 sin^3 x

OpenStudy (dls):

okay yes ! i remember :P

OpenStudy (dls):

thanks!

OpenStudy (dls):

okay I guess i can do it now

hartnn (hartnn):

from sin 18, u get cos 36 from the formula of cos 2x in terms of sin x

hartnn (hartnn):

good :)

OpenStudy (dls):

:D

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