sin3a
=sin(a+2a)
=sinacos2a+cosasin2a
=sina(1-2sin²a)+cosa(2sinacosa)
=sina-2sin³a+2sinacos²a
=sina-2sin³a+2sina(1-sin²a)
=3sina-4sin³a
sin3a
=sin(a+2a)
=sinacos2a+cosasin2a
=sina(1-2sin²a)+cosa(2sinacosa)
=sina-2sin³a+2sinacos²a
=sina-2sin³a+2sina(1-sin²a)
=3sina-4sin³a