câu b nha mn
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b: Xét ΔABH vuông tại H có
\(AB^2=AH^2+HB^2\)
hay AH=12(cm)
Xét ΔAHB vuông tại H có
\(\sin\widehat{B}=\cos\widehat{C}=\dfrac{AH}{AB}=\dfrac{12}{13}\)
\(\cos\widehat{B}=\sin\widehat{C}=\dfrac{5}{13}\)
\(\tan\widehat{B}=\cot\widehat{C}=\dfrac{12}{5}\)
\(\cot\widehat{B}=\tan\widehat{C}=\dfrac{5}{12}\)
a. \(I=I1=I23=U:R=6:\left(1,8+\dfrac{3\cdot2}{3+2}\right)=2A\left(R1ntR23\right)\)
\(\rightarrow U1=I1\cdot R1=2\cdot1,8=3,6V\)
\(\rightarrow U23=U2=U3=I23\cdot R23=2\cdot\left(\dfrac{3\cdot2}{3+2}\right)=2,4V\left(R1//R2\right)\)
\(\Rightarrow\left\{{}\begin{matrix}I2=U2:R2=2,4:3=0,8A\\I3=U3:R3=2,4:2=1,2A\end{matrix}\right.\)
b. \(\left\{{}\begin{matrix}Q_{toa1}=A_1=U_1\cdot I_1\cdot t=3,6\cdot2\cdot1\cdot60=432\left(J\right)\\Q_{toa2}=A_2=U_2\cdot I_2\cdot t=2,4\cdot0,8\cdot1\cdot60=115,2\left(J\right)\end{matrix}\right.\)
Tất cả k dưới đây là \(k\in Z\)
1.
ĐKXĐ: \(1-2cosx\ne0\Rightarrow cosx\ne\dfrac{1}{2}\)
\(\Rightarrow x\ne\pm\dfrac{\pi}{3}+k2\pi\)
2.
\(cos2x-1=0\Rightarrow cos2x=1\)
\(\Rightarrow2x=k2\pi\)
\(\Rightarrow x=k\pi\)
b.
\(\sqrt{3}cotx-3=0\Rightarrow cotx=\sqrt{3}\)
\(\Rightarrow x=\dfrac{\pi}{6}+k\pi\)
c.
\(2sin^22x+sin2x-1=0\)
\(\Rightarrow\left[{}\begin{matrix}sin2x=-1\\sin2x=\dfrac{1}{2}\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}2x=-\dfrac{\pi}{2}+k2\pi\\2x=\dfrac{\pi}{6}+k2\pi\\2x=\dfrac{5\pi}{6}+k2\pi\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=-\dfrac{\pi}{4}+k\pi\\x=\dfrac{\pi}{12}+k\pi\\x=\dfrac{5\pi}{12}+k\pi\end{matrix}\right.\)
3.
Theo điều kiện có nghiệm của pt lượng giác bậc nhất, pt đã cho có nghiệm khi:
\(\sqrt{3}^2+2^2\ge m^2\)
\(\Rightarrow m^2\le7\)
\(\Rightarrow-\sqrt{7}\le m\le\sqrt{7}\)
2 she had got the price of the contest, she would be happy now
3 I had gone to the concert last night ,I would be tired
4 John had finished all his homework, he could see a movie now
5 we had listened to my mother, we wouldn't be in trouble right now
Ex5
1 you arrive at the offcie earlier than I do, please turn on the air-conditioner
2 Were it not snowy, the children would go to school
3 he not died so young, he would be a famous musician
4 Were I you, I would take care of my car
5 not very bad-tempered, his wife would give him soon are marrage
6 Had she not got married at such an early age, he would be at university