求y=根号3*cosx/(2+sinx)的值域

问题描述:

求y=根号3*cosx/(2+sinx)的值域

y=根号3*cosx/(2+sinx)√3*cosx=Y(2+sinx)Ysinx-√3*cosx=-2Y(Y²+3)sin(x-θ)=-2ysin(x-θ)=-2y/(Y²+3)由于:|sin(x-θ)|≤1所以:|-2y/(Y²+3)|≤1解得:|y|≤1所以:y=根号3*cosx/(2+sinx)的值...