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Kweku
 2 years ago
write 3(cos225 +isin225) in the form a + ib.
Kweku
 2 years ago
write 3(cos225 +isin225) in the form a + ib.

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ZeHanz
 2 years ago
Best ResponseYou've already chosen the best response.0225 degrees rings a bell, no?

ZeHanz
 2 years ago
Best ResponseYou've already chosen the best response.0Not yet ;) I meant that sin225 and cos225 are supposed to be wellknown numbers: they have to do with the 454590 degree triangle, with sides a, a and a√2. Does that ring a bell? See image. Both sin225 and cos225 are: \[\frac{ 1 }{ 2 }\sqrt{2}\]

Kweku
 2 years ago
Best ResponseYou've already chosen the best response.0you mean right angled triangle?

Kweku
 2 years ago
Best ResponseYou've already chosen the best response.0so you mean the angles should be in the first quadrant?

ZeHanz
 2 years ago
Best ResponseYou've already chosen the best response.0No, 225 is in the third quadrant. I only meant that in the 3rd quadrant you get the same values (just negative) as in the triangle with 454590 degrees.

ZeHanz
 2 years ago
Best ResponseYou've already chosen the best response.0Therefore you now have \[3(\frac{ 1 }{ 2 }\sqrt2+i \cdot \frac{ 1 }{ 2 }\sqrt 2)\]And if you work out the brackets you're done.

Kweku
 2 years ago
Best ResponseYou've already chosen the best response.0Yeah I get you but that does not make any change.

ZeHanz
 2 years ago
Best ResponseYou've already chosen the best response.0Is your problem solved then?
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