搜搜做题作业网(cos(3x+π/4)-sin(3x+π/4))/(cos(3x+π/4)+sin(3x+π/4))的值域 定义域 最
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(cos(3x+π/4)-sin(3x+π/4))/(cos(3x+π/4)+sin(3x+π/4))的值域 定义域 最小正周期
首先将分子单角单函,化为:根号2*sin（派/4-(3x+派/4)）=-根号2*sin(3x).再将分母单角单函,化为：根号2*sin（(3x+派/4)+派/4）=根号2*cos(3x).所以比值为：-tan(3x).所以值域为：R,最小正周期为：派/3,定义域为：3x不等于（k派+派/2）,即x不等于（k派/3+派/6）（k€N）.
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