高一数学第十四题,解析

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高一数学第十四题,解析高一数学第十四题,解析 高一数学第十四题,解析log2(cos(pi/9)*cos(2pi/9)*cos(4pi/9))=log2(sin(pi/9)*cos(pi/9

高一数学第十四题,解析
高一数学第十四题,解析

 

高一数学第十四题,解析

log2(cos(pi/9)*cos(2pi/9)*cos(4pi/9))
=log2(sin(pi/9)*cos(pi/9)*cos(2pi/9)*cos(4pi/9)/sin(pi/9))
=log2(sin(8pi/9)/sin(pi/9)/8)
=log2(1/8)
=-3没看懂。log2(a)+log2(b)=log2(a*b)
sin(8*pi/...

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log2(cos(pi/9)*cos(2pi/9)*cos(4pi/9))
=log2(sin(pi/9)*cos(pi/9)*cos(2pi/9)*cos(4pi/9)/sin(pi/9))
=log2(sin(8pi/9)/sin(pi/9)/8)
=log2(1/8)
=-3

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