How do you solve $cotxsecx+cotx=0$ and find all general solutions?

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Answer 1 · 2016-10-03T03:22:52

Factor:

$cosx/sinx(1/cosx) + cosx/sinx= 0$

$1/sinx + cosx/sinx = 0$

$(1 + cosx)/(sinx) = 0$

$1 + cosx = 0$

$cosx= -1$

$x = pi + pin$ , n an integer.

However, this solution renders the equation undefined, so there is no real solution.

Hopefully this helps!

How do you solve cotxsecx+cotx=0cotxsecx+cotx=0 and find all general solutions?