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prove that:Sin(Z1+Z2)=sinZ1cosZ2-cosZ1sinZ2

prove that:Sin(Z1+Z2)=sinZ1cosZ2-cosZ1sinZ2

Grade:upto college level

1 Answers

Parvez ali
askIITians Faculty 47 Points
10 years ago
sin(z1+z2)=img part(ei(z1+z2))=I.P.(eiz1.eiz2)=I.P((cosz1+isinz1)(cosz2+isinz2))
=I.P.((cosz1cosz2-sinz1sinz2)+i(sinz1cosz2+cosz1sinz2))
=sinz1cosz2+cosz1sinz2
Thanks & Regards
Parvez Ali
askIITians Faculty
Btech ISM Dhanbad

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