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Show that sin10^(@)+sin20^(@)+sin40^(@...

Show that
`sin10^(@)+sin20^(@)+sin40^(@)+sin50^(@)`
`=sin70^(@)+sin80^(@)`

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sin 10^(@) sin 30^(@) sin 50^(@) sin 70^(@) sin 90^(@)=

sin 10^(@) + sin 20^(@) + sin 40^(@) + sin 50^(@) - sin 70^(@) - sin 80^(@) =

sin10^(@) + sin20^(@)+sin30^(@)+….+sin360^(@)=

sin 12^(@)sin 48^(@)sin 54^(@)=

sin 20^(@) * sin 40^(@) * sin 60^@ * sin 80^(@) =

cos70^(@)+sin40^(@)=

(cos20^(@)+8sin10^(@)sin50^(@)sin70^(@))/(sin^(2)80^(@))=

Prove that sin50^(@)-sin70^(@)+sin10^(@)=0

sin 40^(@) - sin 80^(@)+ sin 160^(@) =

Sin40^(@) - Sin80^(@) + Sin160^(@) =