2016.52+2016.75-2500
106-\(106-\orbr{\left(180-120\right)\div15+5}\)
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khỏi chép lại đề nha
\(1-\left(\frac{49}{9}+x-\frac{133}{18}\right):15=0+\frac{3}{4}\)
\(1-\left(\frac{49}{9}+x-\frac{133}{18}\right):15=\frac{3}{4}\)
\(1-\left(\frac{49}{9}+x-\frac{133}{18}\right)=\frac{3}{4}.15\)
\(1-\left(\frac{49}{9}+x-\frac{133}{18}\right)=\frac{45}{4}\)
\(\frac{49}{9}+x-\frac{133}{18}=1-\frac{45}{4}\)
\(\frac{49}{9}+x-\frac{133}{18}=\frac{-41}{4}\)
\(\frac{49}{9}+x=\frac{-41}{4}+\frac{133}{18}\)
\(\frac{49}{9}+x=\frac{-103}{36}\)
\(x=\frac{-103}{3}-\frac{49}{9}\)
\(x=\frac{-299}{36}\)
tk mik nha
\(\left(5\sqrt{3}+3\sqrt{5}\right):15\)
\(=\sqrt{5}.\sqrt{3}\left(\sqrt{5}+\sqrt{3}\right):15\)
\(=\sqrt{15}\left(\sqrt{5}+\sqrt{3}\right):15=\frac{\sqrt{5}+\sqrt{3}}{\sqrt{15}}\)
1.
\(\Leftrightarrow2sinx.cosx+2cosx=0\)
\(\Leftrightarrow2cosx\left(sinx+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}cosx=0\\sinx=-1\end{matrix}\right.\)
\(\Leftrightarrow cosx=0\) (do \(cosx=0\Leftrightarrow sinx=\pm1\) bao hàm luôn cả pt \(sinx=-1\))
\(\Leftrightarrow x=\dfrac{\pi}{2}+k\pi\)
2.
\(\Leftrightarrow\left[{}\begin{matrix}2x-10^0=60^0+k360^0\\2x-10^0=120^0+n360^0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=35^0+k180^0\\x=65^0+n180^0\end{matrix}\right.\)
Do \(-120^0< x< 90^0\Rightarrow\left\{{}\begin{matrix}-120^0< 35^0+k180^0< 90^0\\-120^0< 65^0+n180^0< 90^0\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}k=0\\n=\left\{-1;0\right\}\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=35^0\\x=-115^0\\x=65^0\end{matrix}\right.\)
3. Làm tương tự câu 2
4.
\(\Leftrightarrow\dfrac{1}{2}-\dfrac{1}{2}cos\left(10x+\dfrac{4\pi}{5}\right)-\left(\dfrac{1}{2}+\dfrac{1}{2}cos\left(\dfrac{x}{2}-2\pi\right)\right)=0\)
\(\Leftrightarrow cos\left(10x+\dfrac{4\pi}{5}\right)+cos\left(\dfrac{x}{2}-2\pi\right)=0\)
\(\Leftrightarrow cos\left(10x+\dfrac{4\pi}{5}\right)+cos\left(\dfrac{x}{2}\right)=0\)
\(\Leftrightarrow cos\left(10x+\dfrac{4\pi}{5}\right)=-cos\left(\dfrac{x}{2}\right)=cos\left(\pi-\dfrac{x}{2}\right)\)
\(\Leftrightarrow\left[{}\begin{matrix}10x+\dfrac{4\pi}{5}=\pi-\dfrac{x}{2}+k2\pi\\10x+\dfrac{4\pi}{5}=\dfrac{x}{2}-\pi+k2\pi\end{matrix}\right.\)
\(\Leftrightarrow...\)