问题描述:


设涵数f(x)=1/2sin+跟号3/2cosx求涵数f(x)的周期和x属于[0,派/2]值域

f(x)=1/2sinx+跟号3/2cosx
=cosπ/3 sinx+sinπ/3 cosx
=sin(π/3 +x)
周期:2π
x属于[0,派/2],则π/3 +x属于[π/3,5π/6],
故值域:[1/2,1]