高中数学三角函数题目求解

2024-11-18 16:33:42
推荐回答(2个)
回答1:

cos75°cos15°sin75°sin15°
=sin15°cos15°cos15°sin15°
=sin²15°cos²15°
=¼(2sin15°cos15°)²
=¼sin²30°
=¼·(½)²
=¼·¼
=1/16

回答2:

cos15ºcos75ºsin15ºsin75º=1/2×2sin15ºcos15º×1/2×2sin75°cos75°=1/4sin30°sin150°=1/4×1/2×1/2=1/16