已知f(x)={sin兀x(x0),求f(-11\6)+f(11/6)的值
问题描述:
已知f(x)={sin兀x(x0),求f(-11\6)+f(11/6)的值
答
f(-11/6)=sin(-11/6π)
=sin(π/6-2π)
=-sin(π/6)
=-1/2
f(11/6)=f(11/6-1)-1
=f(5/6)-1
=f(5/6-1)-1-1
=f(-1/6)-2
=sin(-π/6)-2
=-1/2-2
=-5/2
f(-11\6)+f(11/6)=-1/2-5/2=-3