计算:log1/2sin15°+log1/2cos15°=?

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计算:log1/2sin15°+log1/2cos15°=?
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计算:log1/2sin15°+log1/2cos15°=?
计算:log1/2sin15°+log1/2cos15°=?

计算:log1/2sin15°+log1/2cos15°=?
log1/2sin15°+log1/2cos15°
=log(1/2)(sin15cos15)
=log(1/2)(1/2sin30)
=log(1/2)(1/4)
=2

原式=log1/2(sin15cos15)
=log1/2[1/2*(2sin15cos15)]
==log1/2(1/2*sin30)
==log1/2(1/4)
=log1/2(1/2)²
=2