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3% : 5% + 987% - 765% = 0,6% + 987% - 765%
= 987,6% - 765%
= 222,6%
10+90+100+234+789+987
100+100+234+789+987
200+234+789+987
434+789+987
2210
a: \(A=58\left(sin^6a+cos^6a\right)-87\left(sin^4a+cos^4a\right)\)
\(=58\left[\left(sin^2a+cos^2a\right)^3-3\cdot sin^2a\cdot cos^2a\cdot1\right]-87\left[\left(sin^2a+cos^2a\right)^2-2\cdot sin^2a\cdot cos^2a\cdot\right]\)
\(=-174sin^2a\cdot cos^2a+174\cdot sin^2a\cdot cos^2a\)
=0
b: \(=sin^2a+cos^2a+3=1+3=4\)
tổng quát nhé \(\frac{1}{\sqrt{k}}-\frac{1}{\sqrt{k+1}}=\frac{1}{\sqrt{\left(k+1\right)k}}>\frac{1}{\left(k+1\right)\sqrt{k}}>\frac{1}{\left(k+1\right)k}=\frac{1}{k}-\frac{1}{k+1}\)
Đặt A= \(\frac{1}{2\sqrt{1}}+\frac{1}{3\sqrt{2}}+...+\frac{1}{2011\sqrt{2010}}\)
\(\Rightarrow1-\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{2}}-\frac{1}{\sqrt{3}}+...+\frac{1}{\sqrt{2010}}-\frac{1}{\sqrt{2011}}>A>1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{2010}-\frac{1}{2011}\)\(\Leftrightarrow1-\frac{1}{\sqrt{2011}}>A>1-\frac{1}{2011}\Leftrightarrow\frac{88}{45}>\frac{2011-\sqrt{2011}}{2011}>A>\frac{2010}{2011}>\frac{87}{89}\)
bang 22050 ban
22050