已知sin=3/5,a∈(0,π/2)求tana的值,求cosa/2的值.跪求跪求数学老师,在线等

问题描述:

已知sin=3/5,a∈(0,π/2)求tana的值,求cosa/2的值.跪求
跪求数学老师,在线等

sina=3/5 ,cosa=4/5, tana=3/4
(cosa/2)^2=(cosa+1)/2=9/10
cosa/2=3√10/10

ok

解sina=3/5∵a∈(0,π/2)∴cosa>0∵sin²a+cos²a=1∴cosa=4/5∴tana=sina/cosa=3/4∵cosa=2coa²a/2-1∴cos²a/2=(cosa+1)/2∵a∈(0,π/2)∴a/2∈(0,π/4)∴cosa/2>0∴cosa/2=√(cosa+1)/2=√(4/5+...