函数y=|sina|/sina+cosa/|cosa|-|tana|/tana的值域是多少
人气:116 ℃ 时间:2020-03-07 13:28:21
解答
分情况讨论即可.
(1)a∈Ⅰ象限,sina≥0,cosa≥0,tana≥0,
y=1+1-1=1
(2) a∈Ⅱ象限,sina≥0,cosa≤0,tana≤0,
y=1-1-(-1)=1
(2) a∈Ⅲ象限,sina≤0,cosa≤0,tana≥0,
y=-1-1-1=-3
(2) a∈Ⅳ象限,sina≤0,cosa≥0,tana≤0,
y=-1+1-(-1)=1
∴y的值域为{0,-3}
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