Posted by Sophie on Tuesday, June 16, 2009 at 5:26pm.
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  Reiny, Tuesday, June 16, 2009 at 6:44pm
I had 26.6 or 333.4 in a positive direction
tan 2θ = B/(AC)
= 4/(41) = 4/3
2θ = 53.13
θ = 26.13

Math  Sophie, Tuesday, June 16, 2009 at 6:49pm
oh, so it is C?

Math  Reiny, Tuesday, June 16, 2009 at 6:51pm
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  Reiny, Tuesday, June 16, 2009 at 6:55pm
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  Sophie, Wednesday, June 17, 2009 at 3:57pm
oohh yes i did! thanks!!
Answer This Question
Related Questions
 Math  find the angle θ in the right triangle in the following problem. ...
 Trigonometry  Please show me the work so i understand 2. Find the reference ...
 trig  Use a table of trigonometric values to find the angle θ in the right...
 Calculus please help !  Find the coordinates of the center of the ellipse ...
 Calculus  The curves r1(t) = 5t, t^2, t^4 & r2(t) =sin t, sin 4t, 3t intersect ...
 Precalculus HELP PLEASE !  Find the coordinates of the center of the ellipse ...
 phys  Find every angle θ between 0 and 360° for which the ratio of sin &#...
 Trig  Use a calculator to find θ to the nearest tenth of a degree, if 0° &...
 Precal  Describe the distance of point P from the far left or right of the ...
 math  Find a single matrix that defines a rotation of the plane through an ...
More Related Questions