cosπ⼀12cos5π⼀12等于多少(过程)

2025-02-22 12:27:33
推荐回答(3个)
回答1:

cosπ/12cos5π/12
=cos(π/2-5π/12)cos5π/12
=(cosπ/2cos5π/12+sinπ/2sin5π/12)cos5π/12
=sin5π/12cos5π/12
=1/2sin5π/6
=1/4

回答2:

积化和差
cosπ/12cos5π/12=2cos(π/12+5π/12)cos(π/12-5π/12)
=2cosπ/2cosπ/3
=0*cosπ/3
=0

回答3:

cos π /12cos5π /12
=cos(π/2-5π/12)cos5π/12
=sin5π/12 cos5π/12
=1/2sin5π/ 6
=1/4