Sorry for a stupid question, just haven't...

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Sorry for a stupid question, just haven't dealt with maths in quite a while, would be grateful if someone could explain this school grade math equation to me. Pic related.

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>>7795863

Did you ever learn how to do plane rotations?

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>>7795870

yea.. which was quite some time ago..

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>>7795863

Im thinking definite integral and playing around with sinhx and coshx maybe?

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anyone?

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replace y with (x+y)/sqrt(2) and y with (x-y)/sqrt(2)

use these new variables

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>>7795935

can you explain the reasoning? what is the full formula with cos and sin?

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>>7796006

x= xcos theta - y costheta

y = x sintheta + y cos(theta)

or something like that. Look up quadratic forms (matrices) and rotations of (x, y) column vectors.

The formula for what you have is z = Tranpose(v) tranpose(R) [1/a^2 0 0 -1/b^2] R v

where v is [x y] in column form and R is your rotation matrix and [1/a^2 0 0 -1/b^2] is an obvious 2x2 Matrix.

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