Question

If 1/4cotx - 11 = -9, then cotx = _____.
ans:1/2,5,8, or 80

Answer 1

cot x = 8, assuming by 1/4cotx you mean (1/4)cot x.

Answer 2

yes i meant (1/4)cotx

Answer 3

We have
\[ \frac{1}{4} \cot x -11=-9\]
Add 11 to both sides
\[\frac{1}{4} \cot x -11+11=-9+11\]
we get
\[\frac{1}{4} \cot x=2\]
multiply 4 to both sides
\[\cot x=8\]