三角函数最大值和最小值,

问题描述:

三角函数最大值和最小值,
Find the maximum and minimum values of the function.(Round your answer to two decimal places.)
(cos x)/(5+sinx)

y=cosx/(5+sinx)y'=[-sinx(5+sinx)-cosx cosx]/(5+sinx)^2=-(5sinx+1)/(5+sinx)^2=0---> sinx=-1/5所以有:最大值当sinx=-1/5,cosx=2√6/5,ymax=2√6/(25-1)=√6/12=0.20最小值当sinx=-1/5,cosx=-2√6/5,ymax=-2√6/...