Hàm số `y=(tanx-1)/sinx+cos(x+π/3)` xác định
`⇔` \begin{cases} cosx\ne0 \\ sinx\ne0 \\\end{cases}
`⇔ sin2x\ne0`
`⇔ 2x\nekπ`
`⇔x\nekπ/2` `(k∈Z)`
`→D=R\{kπ/2|k∈Z}`
Đáp án: `D= RR \\ {(kπ)/2; k \in ZZ}`
Giải thích các bước giải:
ĐKXĐ:
$\begin{cases} cos x≠0 \\ sin x≠0\end{cases} $
`<=>` $\begin{cases} x≠ π/2 + kπ \\ x≠ kπ \end{cases} $
`<=> x ≠ (kπ)/2 \ (k \in ZZ)`
Vậy `D= RR \\ {(kπ)/2; k \in ZZ}`
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