# I've really got to stop drinking, someone confirm I'm right please.Watch

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#1
To make sure I'm not having a brainfart, could someone please ensure that the solutions to the equation 3cot2θ = 1, within the range 0 to 2πc , are indeed π/3 and 2π/3.

I've been drinking far too much beer recently, my basic pure knowledge is taking a battering!
0
13 years ago
#2
cot^2(theta) = 1/3
tan^2(theta) = 3
tan(theta) = sqrt(3)

tan(theta) = sqrt(3) has solutions theta = pi/3 and 4pi/3.
tan(theta) = -sqrt(3) has solutions theta = 2pi/3 and 5pi/3.

It helps to sketch y = tan(x) for 0 <= x <= 2pi.
0
#3
(Original post by Jonny W)
cot^2(theta) = 1/3
tan^2(theta) = 3
tan(theta) = sqrt(3)

tan(theta) = sqrt(3) has solutions theta = pi/3 and 4pi/3.

tan(theta) = -sqrt(3) has solutions theta = 2pi/3 and 5pi/3.
My pure knowledge has indeed taken a battering - I can't believe I forgot about the other two solutions... what a pillock! Cheers dude, I've given you rep.
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