Question

2+cotA=1 homework help

Answer 1

`2+\cot A=1\implies \cot A=-1\implies \tan A=-1`

This happens whenever
`A=\frac{3\pi}4` or
`A=\frac{7\pi}4`. More generally,
`\tan A=-1` whenever you start with one of these angles and add any multiple of
`\pi`, so the general solution would be
`A=\frac{3\pi}4+n\pi`, where
`n` is any integer. (Notice that when
`n=1`, you end up with
`\frac{7\pi}4`.)