F(X)=3SIN(X+20度)+5SIN(X+80度)的最大值~求具体过称
问题描述:
F(X)=3SIN(X+20度)+5SIN(X+80度)的最大值~求具体过称
答
f(x)=3sin(x+20°)+5sin(x+80°)
=3sin(x+20°)+5sin[(x+20°)+60°)]
=3sin(x+20°)+5sin(x+20°)cos60+5cos(x+20)sin60
=11/2 sin(x+20)+5根号3/2 cos(x+20)
=7sin(x+20+b)
最大值7