1 câu trả lời
Đáp án:
[x=π8+kπx=3π8+kπx=−π8+kπx=5π8+kπ(k∈ℤ
Giải thích các bước giải:
sin^2 2x=1/2
<=>\left[ \begin{array}{l}\sin 2x=\dfrac{\sqrt2}{2}\\\sin 2x=-\dfrac{\sqrt2}{2}\end{array} \right.
<=>\left[ \begin{array}{l}\sin 2x=\sin \dfrac{\pi}{4}\\\sin 2x=\sin \dfrac{-\pi}{4}\end{array} \right.
<=>\left[ \begin{array}{l} 2x= \dfrac{\pi}{4}+k2\pi\\2x=\dfrac{3\pi}{4}+k2\pi\\2x= -\dfrac{\pi}{4}+k2\pi\\2x= \dfrac{5\pi}{4}+k2\pi\end{array} \right.
<=>\left[ \begin{array}{l} x= \dfrac{\pi}{8}+k\pi\\x=\dfrac{3\pi}{8}+k\pi\\x= -\dfrac{\pi}{8}+k\pi\\x= \dfrac{5\pi}{8}+k\pi\end{array} \right.(kinZZ)