# maths

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can you help with adding the following wave sines
30sinѲ(Ѳ+60o)+50sin(Ѳ-45o)

• maths -

I will assume you meant
30 sin(Ø+60°) + 50sin(Ø-45°)

and the extra Ø in the first term is a typo

= 30(sinØcos60 + cosØsin60) + 50(sinØcos45 - cosØsin45)
= 30( sinØ(√3/2) + cosØ(√3/2) + 50(sinØ(√2/2) + cosØ(√2/2) )
= (15√3)sinØ + 15√3cosØ + 25√2sinØ + 25√2cosØ
= (15√3 + 25√2)sinØ + (15√3 + 25√2)cosØ
= (15√3 + 25√2)(sinØ + cosØ)

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