Ask your own question, for FREE!
Mathematics 9 Online
OpenStudy (anonymous):

what is the rule for a counter wingspanwise rotation about the origin of 240 degrees

OpenStudy (nincompoop):

LMAO

OpenStudy (anonymous):

?

OpenStudy (snowfire):

Are you talking about the transformation matrix used to rotate something by 240 degrees?

OpenStudy (anonymous):

What is the rule for a counterclockwise rotation about the origin of 240°? (x' , y') = (x sin 240° + y cos 240° , x cos 240° - y sin 240°) (x' , y') = (x cos 240° - y sin 240° , x sin 240° + y cos 240°) (x' , y') = (x sin 240° - y cos 240° , x sin 240° + y cos 240°) (x' , y') = (x cos 240° + y sin 240° , x sin 240° - y cos 240°)

OpenStudy (anonymous):

those r the options

OpenStudy (snowfire):

Well think about it. Imagine you had a point (1,1), and wanted to rotate it about the origin 240 degrees counterclockwise. Where would the new point approximately be (which quadrant)?

OpenStudy (anonymous):

hmm

OpenStudy (anonymous):

i would need more than 1 point wouden't i?

OpenStudy (snowfire):

Think of it as a vector, that might help you visually.

OpenStudy (snowfire):

|dw:1386350384781:dw|

OpenStudy (anonymous):

o

OpenStudy (snowfire):

So according to this, where can you assume the new point will be?

OpenStudy (nincompoop):

OH SO it is counter-clockwise not counter wingspanwise

OpenStudy (anonymous):

(-6,2) about

OpenStudy (snowfire):

I'm assuming he meant counterclockwise

OpenStudy (anonymous):

it is counter clockwise

OpenStudy (snowfire):

We're sticking to the point (1,1), so the angle is a nice 45 degrees

OpenStudy (anonymous):

woops ment (-2,-6)

OpenStudy (snowfire):

The picture I drew isn't complete btw, I just wanted you to see my reasoning. The new arrow (-1,-1) is the 180 degree turn, so you need 60 more to be 240 degrees. The angle between that new arrow and the negative y axis is 45 degrees, so it will pass it. What quadrant is it in?

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!