Solve cos(x)cot(x)=2cos(x)

Without a graphing calculator.
The answers are 26.6, 90, 206.6, and 270.
Thanks

cos(x)cot(x) = 2cos(x)
cos(x)cot(x) - 2cos(x) = 0
cos(x)(cot(x) - 2) = 0
cos(x) = 0
cot(x) = 2

x = 26.6, 90, 206.6, and 270

Unfortunately not... unless you someway remember that cot(26.6 degrees) is 2, but if it were on a test and you couldn't use a calculator, I would just leave it as cot^-1(2)

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