`cos120^o=`

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Prove that cos120^@cos240^@-sin120^@sin240^@=1

Prove that cos510^@cos330^@+sin390^@cos120^@=-1

cos 510^@cos330^@+sin 390^@cos120^@ =

cos120^(@)=cos(90^(@)+30^(@)) =-sin30^(@)=-(1)/(2)

Show that cos510^@cos330^@-sin390^@cos120^@=-1/2

cos A .cos (120^@ +A ) . Cos (120 ^@ -A ) is

cos A + cos (120 ^ (@) + A) + cos (120 ^ (@) - A) =

cos A + cos (120 ^(@) - A ) + cos (120 ^(@) + A ) =0

Find the value of cos120^(@)