问题
填空题
sin105°cos105°的值为 ______.
答案
sin105°cos105°
=sin(60°+45°)cos(60°+45°)
=(sin60°cos45°+cos60°sin45°)(cos60°cos45°-sin60°sin45°)
=(
×3 2
+2 2
×1 2
)(2 2
×1 2
-2 2
×3 2
)=-2 2 1 4
故答案为-
.1 4
sin105°cos105°的值为 ______.
sin105°cos105°
=sin(60°+45°)cos(60°+45°)
=(sin60°cos45°+cos60°sin45°)(cos60°cos45°-sin60°sin45°)
=(
×3 2
+2 2
×1 2
)(2 2
×1 2
-2 2
×3 2
)=-2 2 1 4
故答案为-
.1 4