Posted by Gigi on Monday, July 23, 2012 at 10:08am.
convert to polar form:
1) x^2-y^2=4 (You may leave your answer for this one as r2 =)
- math - Reiny, Monday, July 23, 2012 at 10:33am
r^2 = x^2 + y^2
x/r = cosŲ, and y/r = sinŲ or x=rcosŲ and y = rsinŲ
x^2 - y^2 = 4
r^2 cos^2 Ų - r^2 sin^2Ų = 4
r^2 (cos^2 Ų - sin^2 Ų) = 4
r^2 (cos 2Ų)=4
r^2 = 4/cos 2Ų or r^2 = 4sec 2Ų
follow the same procedure for the second one, let me know what you got
- math - Gigi, Monday, July 23, 2012 at 10:53am
how did you get cos 2Ų after subtracting cos^2Ų-sin^2Ų?
- math - Reiny, Monday, July 23, 2012 at 1:08pm
One of the basic trig identities says:
cos 2A = cos^2 A - sin^2 A
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