What we write to Sin( θ1- θ2)
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sin(θ1 - θ2) =Im(ei(θ1-θ2)
=Im(eiθ1 eiθ2)
=Im((cos θ1 - isin θ1)(cos θ2 + isin θ2)
= cos θ1 sin θ2 - sin θ1 cos θ2
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sin(θ1 - θ2)
Step-by-step explanation:
sin(θ1 - θ2) =Im(ei(θ1-θ2)
=Im(eiθ1 eiθ2)
=Im((cos θ1 - isin θ1)(cos θ2 + isin θ2)
= cos θ1 sin θ2 - sin θ1 cos θ2
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