cos(a+b)+cos(a-b)/sin(a+b)+sin(a-b)化简

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/15 01:20:59
cos(a+b)+cos(a-b)/sin(a+b)+sin(a-b)化简cos(a+b)+cos(a-b)/sin(a+b)+sin(a-b)化简cos(a+b)+cos(a-b)/sin(a+b)

cos(a+b)+cos(a-b)/sin(a+b)+sin(a-b)化简
cos(a+b)+cos(a-b)/sin(a+b)+sin(a-b)化简

cos(a+b)+cos(a-b)/sin(a+b)+sin(a-b)化简
=(cosacosb-sinasinb+cosacosb+sinasinb)/(sinacosb+cosasinb+sinacosb-cosasinb)
=2cosacosb/2sinacosb
=cota

原式
=2cosa*cosb/(2sina*cosb)
=cota