Posted by Steve on Thursday, December 17, 2009 at 9:27pm.
cot x sec x = 2 cot x.
cotx secx - 2cot x = 0
cotx(secx - 2)
cotx = 0 or secx = 2
if cotx = 0
the cotangent is zero when the tangent is undefined, and the tangent is undefined at 90º (pi/2) and 270º (3pi/2)
cosx/sinx = 0
cosx = 0 , x = pi/2 or 3pi/2
if secx = 2
cosx = 1/2, x = pi/3 or 5pi/3
add n(2pi), where n is an integer, to get the general solutions.
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