Math

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For 4x^2 - 4xy + y^2 = 4 find θ, the angle of rotation about the origin, to the nearest degree?
a) 27°
b) 63°
c) 333°
d) 307°

I got A, is this right?

• Math -

I had -26.6 or 333.4 in a positive direction

tan 2θ = B/(A-C)
= -4/(4-1) = -4/3
2θ = -53.13
θ = -26.13

• Math -

oh, so it is C?

• Math -

has to be
didn't you also get -26.6 degrees?
that is not given.
What angle is coterminal with -26.6 ?
It is 333.4 .

• Math -

Here is a webpage that has your type of question

http://education.yahoo.com/homework_help/math_help/problem?id=miniprecalcgt_8_1_1_26_70

press "STEP" to go through the problem.
Notice they leave their angle as a negative.

• Math -

oohh yes i did! thanks!!

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