#How do I derive this identity

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wise quail
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๐Ÿ˜› it's been so long since I've had to do trig like this, but I don't get how we get this identity, my proffessor did not derive this in class he just showed it to be true.

untold yachtBOT
untold yachtBOT
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How do I derive this identity

fair monolith
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What approaches have u tried ?

dark furnace
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What does the S do? And what about the j? Is this a quarternion thing? Some more context would be helpful.

fair monolith
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j here denotes โˆš(-1)..

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And S is complex frequency...