Giúp mình nhanh với Cho 0< apha
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\(tan\alpha=3\)
\(1+tan^2\alpha=\dfrac{1}{cos^2\alpha}\)
\(\Rightarrow cos\alpha=\pm\sqrt{\dfrac{1}{1+tan^2\alpha}}=\pm\sqrt{\dfrac{1}{1+3^2}}=\pm\dfrac{\sqrt{10}}{10}\)
\(\Rightarrow A\)
`tan a =3 <=> (sina)/(cosa) =3 <=> sina=3cosa`
Có: `sin^2a+cos^2a =1`
`<=> (3cosa)^2 + cos^2a =1`
`<=> 10cos^2a =1`
`<=> cosa = \pm \sqrt10/10`
`=>` A.
3.
\(\overrightarrow{AB}=\left(4;2\right)=2\left(2;1\right)\)
Do đó đường thẳng AB nhận \(\left(-1;2\right)\) là 1 vtpt
4.
\(\overrightarrow{AB}=\left(-a;b\right)\)
\(\Rightarrow\) Đường thẳng AB nhận (b;a) là 1 vtpt
1 Van Mieu-Quoc Tu Giam is a famous historical and cultural ralic in Ha Noi
2 Quoc Tu Giam educated the thousands of talented men for the country
3 Hoi An used to be an important trading center in Southeast Asian.
4 Hoi An was certified as a World Cultural Heritage Site World by UNESCO.
5 Hue ,an ancient capital , is an attractive destination to tourists.
6 Nha Rong Harbour is the place where President Ho Chi Minh decided to go abroad to find out the way of liberation of our country .
7 Ha Noi is the culture and politics center the whole of country.
`(x^2+1)/((3-x)(x+2))>=0(x ne -2,3)`
Vì `x^2+1>0`
`=>(3-x)(x+2)>0`
`=>(x-3)(x+2)<0`
`=>-2<x<3`
Ủa thì chọn gì?
\(sin\left(\dfrac{3\pi}{2}-x\right)+tan^2x=sin\left(\pi+\dfrac{\pi}{2}-x\right)+\dfrac{sin^2x}{cos^2x}=-sin\left(\dfrac{\pi}{2}-x\right)+\dfrac{1-cos^2x}{cos^2x}\)
\(=-cosx+\dfrac{1-cos^2x}{cos^2x}=-a+\dfrac{1-a^2}{a^2}=\dfrac{-a^3-a^2+1}{a^2}\)
\(\Rightarrow\left\{{}\begin{matrix}m=-1\\n=-1\end{matrix}\right.\)
74.
\(cos\left(\dfrac{3\pi}{2}-x\right)+cot^2x=cos\left(\pi+\dfrac{\pi}{2}-x\right)+\dfrac{cos^2x}{sin^2x}=-cos\left(\dfrac{\pi}{2}-x\right)+\dfrac{1-sin^2x}{sin^2x}\)
\(=-sinx+\dfrac{1-sin^2x}{sin^2x}=-a+\dfrac{1-a^2}{a^2}=\dfrac{-a^3-a^2+1}{a^2}\)
\(\Rightarrow m=n=-1\)