jch000000
幼苗
共回答了10个问题采纳率：90% 举报
是要化简吗?
(cosπ/8+sinπ/8)(cos³3π/8-sin³3π/8)
=(cosπ/8+sinπ/8)(cosπ/8-sinπ/8)(cos²3π/8+cos3π/8sin3π/8+sin²3π/8)
=(cos²π/8-sin²π/8)(1+1/2sin3π/4)
=cosπ/4 × (1+1/2sin3π/4)
（老实说我觉得你应该知道cosπ/4和sin3π/4的值了……）
=cosπ/4 × （1+1/2sinπ/4）
=√2/2 × (1+√2/4)
=(2√2+1)/4
1年前
2
