求值:log2cos(pai/9)+log2cos(2pai/9)+log2cos(4pai/9)pai代表圆周率

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求值:log2cos(pai/9)+log2cos(2pai/9)+log2cos(4pai/9)pai代表圆周率
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求值:log2cos(pai/9)+log2cos(2pai/9)+log2cos(4pai/9)pai代表圆周率
求值:log2cos(pai/9)+log2cos(2pai/9)+log2cos(4pai/9)
pai代表圆周率

求值:log2cos(pai/9)+log2cos(2pai/9)+log2cos(4pai/9)pai代表圆周率
log2 cos(π/9)+log2cos(2π/9)+log2cos(4π/9)
=log2 [cos(π/9)*cos(2π/9)*cos(4π/9)]
=log2 sin(π/9)*[cos(π/9)cos(2π/9)cos(4π/9)]/sin(π/9)
=log2 1/2*[sin(2π/9)cos(2π/9)cos(4π/9)]/sin(π/9)
=log2 1/8cos(8π/9)/sin(π/9)
=log2 1/8
=log2 (1/2)^3
=log2 2^-3
=-3