3倍根号5sinx+3倍根号5cosx 化简

题目

3倍根号5sinx+3倍根号5cosx 化简

答案

原式=3√10(√2/2*sinx+√2/2cosx)
=3√10(sinxcosπ/4+cosxsinπ/4)
=3√10sin(x+π/4)