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सिद्ध कीजिए कि - cos240^(@)cos120^(@)-...

सिद्ध कीजिए कि -
`cos240^(@)cos120^(@)-sin240^(@)sin120^(@)=1`

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sin120^(@)cos150^(@)-cos240^(@)sin330^(@)=

sin120^(@)cos150^(@)-cos240^(@)sin330^(@)

cos510^(@)cos330^(@)+sin390^(@)cos120^(@)

sin 240^@ + sin 120^@ =

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

sin 120^(@) cos 150^(@)- cos 240^(@) sin 330^(@) =

sin 120^(@) cos 150^(@)- cos 240^(@) sin 330^(@) =

sin150^(@).cos120^(@)+cos330^(@)*sin660^(@)=-1

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

Prove that, cos510^(@)cos330^(@)+sin390^(@)cos120^(@)=-1 .