问题
选择题
cos75°cos15°-sin255°sin165°的值是( )
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答案
cos75°cos15°-sin255°sin165°
=cos75°cos15°-sin(180°+75°)sin(180°-15°)
=cos75°cos15°+sin75°sin15°
=cos(75°-15°)
=cos60°
=
.1 2
故选A
cos75°cos15°-sin255°sin165°的值是( )
|
cos75°cos15°-sin255°sin165°
=cos75°cos15°-sin(180°+75°)sin(180°-15°)
=cos75°cos15°+sin75°sin15°
=cos(75°-15°)
=cos60°
=
.1 2
故选A