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September 21, 2014

September 21, 2014

Posted by **dylan james** on Saturday, March 16, 2013 at 11:41am.

30sinѲ(Ѳ+60o)+50sin(Ѳ-45o)

- maths -
**Reiny**, Saturday, March 16, 2013 at 12:39pmI 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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