(COSα/根号下1+tan^2α) +(sinα/根号下1+cot^2α)=-1 则角阿尔法在第几象限1+tan^2α不是等于sec^2α= 1/cos^2α?1+cot^2α不是等于cec^2α=1/sin^2α?我错哪里了?化简1/[cosα√(1+tan^2α)]+2tanα/(√1/cosα-1)后可能取值
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![(COSα/根号下1+tan^2α) +(sinα/根号下1+cot^2α)=-1 则角阿尔法在第几象限1+tan^2α不是等于sec^2α= 1/cos^2α?1+cot^2α不是等于cec^2α=1/sin^2α?我错哪里了?化简1/[cosα√(1+tan^2α)]+2tanα/(√1/cosα-1)后可能取值](/uploads/image/z/1583347-67-7.jpg?t=%28COS%CE%B1%2F%E6%A0%B9%E5%8F%B7%E4%B8%8B1%2Btan%5E2%CE%B1%29+%2B%28sin%CE%B1%2F%E6%A0%B9%E5%8F%B7%E4%B8%8B1%2Bcot%5E2%CE%B1%29%3D-1+%E5%88%99%E8%A7%92%E9%98%BF%E5%B0%94%E6%B3%95%E5%9C%A8%E7%AC%AC%E5%87%A0%E8%B1%A1%E9%99%901%2Btan%5E2%CE%B1%E4%B8%8D%E6%98%AF%E7%AD%89%E4%BA%8Esec%5E2%CE%B1%3D+1%2Fcos%5E2%CE%B1%3F1%2Bcot%5E2%CE%B1%E4%B8%8D%E6%98%AF%E7%AD%89%E4%BA%8Ecec%5E2%CE%B1%3D1%2Fsin%5E2%CE%B1%3F%E6%88%91%E9%94%99%E5%93%AA%E9%87%8C%E4%BA%86%3F%E5%8C%96%E7%AE%801%2F%5Bcos%CE%B1%E2%88%9A%281%2Btan%5E2%CE%B1%29%5D%2B2tan%CE%B1%2F%28%E2%88%9A1%2Fcos%CE%B1-1%29%E5%90%8E%E5%8F%AF%E8%83%BD%E5%8F%96%E5%80%BC)
(COSα/根号下1+tan^2α) +(sinα/根号下1+cot^2α)=-1 则角阿尔法在第几象限1+tan^2α不是等于sec^2α= 1/cos^2α?1+cot^2α不是等于cec^2α=1/sin^2α?我错哪里了?化简1/[cosα√(1+tan^2α)]+2tanα/(√1/cosα-1)后可能取值
(COSα/根号下1+tan^2α) +(sinα/根号下1+cot^2α)=-1 则角阿尔法在第几象限
1+tan^2α不是等于sec^2α= 1/cos^2α?
1+cot^2α不是等于cec^2α=1/sin^2α?
我错哪里了?
化简1/[cosα√(1+tan^2α)]+2tanα/(√1/cosα-1)后可能取值的集合元素的个数是?
(COSα/根号下1+tan^2α) +(sinα/根号下1+cot^2α)=-1 则角阿尔法在第几象限1+tan^2α不是等于sec^2α= 1/cos^2α?1+cot^2α不是等于cec^2α=1/sin^2α?我错哪里了?化简1/[cosα√(1+tan^2α)]+2tanα/(√1/cosα-1)后可能取值
根号下1+tan^2α=√(1/cosα)^2=|1/cosα|
同理根号下1+cot^2α=|1/sinα|
原式=cosα|cosα|+sinα|sinα|=-1
而(cosα)^2+(sinα)^2
所以|cosα|=-cosα,|sinα|=-sinα
也就是cosα,sinα都是负数,正余弦函数都是负值,则α在第三象限
cosα|cosα|+sinα|sinα|可能是
(cosα)^2+(sinα)^2=1
-(cosα)^2-(sinα)^2=-1
(cosα)^2-(sinα)^2=cos2α无穷多个值
-(cosα)^2+(sinα)^2=-cos2α还是无穷多个值
1+tan^2α= 1/cos^2α
1+cot^2α=1/sin^2α
上式得出cosα/cosα/+sinα/sinα/=-1
因为cos^2α+sin^2α=1
所以cosα和sinα都为负,所以在第三象限