23.
\(\Leftrightarrow2x-\dfrac{\pi}{4}=\dfrac{\pi}{6}+k\pi\)
\(\Leftrightarrow x=\dfrac{5\pi}{24}+\dfrac{k\pi}{2}\)
Do \(\dfrac{\pi}{2}\le x\le\dfrac{5\pi}{2}\Rightarrow\dfrac{\pi}{2}\le\dfrac{5\pi}{24}+\dfrac{k\pi}{2}\le\dfrac{5\pi}{2}\)
\(\Rightarrow k=\left\{1;2;3;4\right\}\)
\(\Rightarrow x=\left\{\dfrac{17\pi}{24};\dfrac{29\pi}{24};\dfrac{41\pi}{24};\dfrac{53\pi}{24}\right\}\)
24.
\(\Leftrightarrow x+\dfrac{\pi}{3}=\pi-x+k2\pi\)
\(\Leftrightarrow x=\dfrac{\pi}{3}+k\pi\)
\(\Rightarrow0< \dfrac{\pi}{3}+k\pi< 2\pi\Rightarrow k=\left\{0;1\right\}\)
\(\Rightarrow x=\left\{\dfrac{\pi}{3};\dfrac{4\pi}{3}\right\}\)
Đúng 2
Bình luận (0)
