\(85^2+75^2+65^2+55^2-45^2-35^2-25^2\)-\(15^2\)
Tính
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15 + 25 + 35 + 45 + 55 + 65 + 75 + 85
= (15 + 85) + (25 + 75) + (35 + 65) + (45 + 55)
= 100 + 100 + 100 + 100
= 400
15+25+35+45+55+65+75+85
=(15+85)+(25+75)+(35+65)+(45+55)
=100+100+100+100
=400
\(A=sin^215^o+sin^225^o+sin^235^o+sin^245^o+sin^255^o+sin^265^o+sin^275^o\)
\(A=cos^275^o+cos^265^o+cos^255^o+cos^245^o+sin^255^o+sin^265^o+sin^275^o\)
\(A=\left(cos^275^o+sin^275^o\right)+\left(cos^265^o+sin^265^0\right)+\left(cos^255^o+sin^255^o\right)+cos^245^o\)
\(A=1+1+1+0,5\)
\(A=3,5\)
Tại sao lại cos 75 cộng với sin 75 lại = 1 bạn ơi mình bấm máy tính ko đc =(((
\(A=\cos^215^o-\cos^225^o+\cos^235^o-\cos^245^o+\cos^255^o-\cos^265^o+\cos^275^o\)
\(A=\sin^275^o-\sin^265^o+\sin^255^o-\sin^245^o+\cos^255^o-\cos^265^o+\cos^275^o\)
\(A=\left(\sin^275^o+\cos^275^o\right)-\left(\sin^265^o+\cos^265^o\right)+\left(\sin^255^o+\cos^255^o\right)-\sin^245^o\)
\(A=1-1+1-\frac{1}{2}\)
\(A=\frac{1}{2}\)
a) \(A=123\left(123+154\right)+77^2\)
\(A=123^2+\left(123.154\right)+77^2=\left(123+77\right)^2=200^2=400\)
b) \(B=3^{24}-\left(2^{47}+1\right)\left(9^6-1\right)\)
\(B=3^{24}-\left(3^{12}-1\right)\left(3^{12}+1\right)\)
\(B=3^{24}-3^{24}+1=1\)
c) \(C=85^2+75^2+65^2+55^2-45^2-35^2-25^2-15^2\)
\(C=\left(85^2-15^2\right)+\left(75^2-25^2\right)+\left(65^2-35^2\right)+\left(55^2-45^2\right)\)
\(C=\left(85+15\right)\left(85-15\right)+\left(75+25\right)\left(75-25\right)+\left(65+35\right)\left(65-35\right)\left(55+45\right)\left(55-45\right)\)
\(C=100\left(60+50+40+30+20+10\right)\)
\(C=100.210=21000\)
B=\(3^{24}-\left(27^4+1\right)\left(9^6+1\right)=-1062883\)A=123(123+154)+772=123.277+772=34843
C=\(85^2+75^2+65^2+55^2-45^2-35^2-25^2-15^2=16000\)
852+752+652+552−452−352−252-152
=(852-152)+(752-252)+(652-352)+(552-452)
=70.100+50.100+30.100+10.100
=160.100=16000