arcsinx是有界函数吗
![习惯上用x表示自变量,用y表示函数,所以反正弦函数写成y=arcsinx.](https://imgs.wantubizhi.com/img/A1A61BAA66193547F3A6DD7D8EE527E90FCE8EA8113E063366FBB86150942FFE87EE91CB62E6529F9708211D1050C62137078390FA508FEA76C20600E6AA9698A146FE05F6D449D6BB1C0117EC6060ABB556D7857509CB2296746DA1615A084E)
习惯上用x表示自变量,用y表示函数,所以反正弦函数写成y=arcsinx.
图片尺寸220x200![展开全部 lim (x->0) arcsinx/x (令 x=sint,则 t=arcsinx) =](https://imgs.wantubizhi.com/img/A1A61BAA66193547F3A6DD7D8EE527E9D237C9C3212DAA0ED86D1988EAEC28134A4B160432F4ECCE8DB01186A9AE8BDC43A20333A24CD429A6847E23B4F2516185D581F5F79EAF73B788EA7965BBFEA932E6275301D6B96A7B3C55A5A7481DD0)
展开全部 lim (x->0) arcsinx/x (令 x=sint,则 t=arcsinx) =
图片尺寸400x400![反三角函数:y=arcsinx y=arccosx y=arctanx y=arccotx y=arcsecx y=](https://imgs.wantubizhi.com/img/ADDA3C5D760C6828B77B505A29D43E83B5A6250ABE3E449BA2E9A0EBE235857DA37BA5C26B3C40634E5CF3E16A85811E5F1ADF31ACA03BCB8338FEE8072D6D8F9E409CB2746CCD15EDAE868A10A6B82D0E474CA5014F8E6ABAF5FC1D154522CC)
反三角函数:y=arcsinx y=arccosx y=arctanx y=arccotx y=arcsecx y=
图片尺寸640x1297![欧拉提出反三角函数的概念,并且首先使用了"arc](https://imgs.wantubizhi.com/img/A1A61BAA66193547F3A6DD7D8EE527E9207CD95B5A2C2927202D12BAD3788462FAFF3A813E291CAE9CB7D2480B47C197099A1CDBE8D31D7C4275F83DAF461B719C9B035C5EB51481E667883427F64FE800CEB8AD44928131069B5A7D6C864A83)
欧拉提出反三角函数的概念,并且首先使用了"arc
图片尺寸640x341![另外还有反三角函数的导数公式: 另外还有反三角函数的导数公式](https://imgs.wantubizhi.com/img/735A5D1F980B52A636CC46F12F2D1A73875771B7AE9A7C5E83B9317176B88EF603C9C8E9297E0E3305163867DFF334B10659C88A4015D23ED096F1DBCCC4026765A1D79030215F6A4150BD01F2B5A1F12CF1E770596FAC40A680D9B552E68E8E)
另外还有反三角函数的导数公式: 另外还有反三角函数的导数公式
图片尺寸1080x810![当x趋于正0的一小段部分,函数增长速度tanx>arcsinx>x>sinx>arctanx](https://imgs.wantubizhi.com/img/ADDA3C5D760C6828B77B505A29D43E83D546CBB3BA449F8103C14A4FC58AA950FD7253644A1B940C88ED3132DDF3B84F0E7B670A59580B65BA327F9834D0FEE9B2859EBD7B28125435116CB138FE74082725896078C9C641CE47179B79A16D2A)
当x趋于正0的一小段部分,函数增长速度tanx>arcsinx>x>sinx>arctanx
图片尺寸1080x1401![反三角函数的定义域和值域:(1)反正弦函数:y=arcsinx 角的范围[-π/2](https://imgs.wantubizhi.com/img/A1A61BAA66193547F3A6DD7D8EE527E9F956CA9BD1AB5DEA6AD098A6EAF57051119DE4C8A56D8C1228CADC213D3D58538F96F36AD75C76320099027C92A6187BA182D3E7BC9578A69DF58FA6B47FF9DA408F9D9B6B32BF71E0EF22B9A346B893)
反三角函数的定义域和值域:(1)反正弦函数:y=arcsinx 角的范围[-π/2
图片尺寸500x445![反三角函数](https://imgs.wantubizhi.com/img/A1A61BAA66193547F3A6DD7D8EE527E9726AE0D73002D39BAFEEA09FA3FBE0F806F3F58EF6A50EEAC946061325516440E95B20548E483C6420727AD6FDBB8CCDD2FCEB9E6BBB5ABA6C15F51634DF4038FD60A93F6AD8D781431C5A9C9F2A7F8D)
反三角函数
图片尺寸1081x887![对于反正弦函数arcsinx,x∈∈[-π/2,π/2],不可能取到π.](https://imgs.wantubizhi.com/img/735A5D1F980B52A636CC46F12F2D1A738F2A02B93B6D6D23294A6E232A649A7390B44FC3020041E16C7F19204DD690388ABACC893FC28E613DD3D57064F3CE34A0C247EE54B1BB73AB955C1DFEA3DAA057CF2BAF2042AE7C5FEB90F268CEE613)
对于反正弦函数arcsinx,x∈∈[-π/2,π/2],不可能取到π.
图片尺寸500x235![y=arcsinx的图象特征和函数性质](https://imgs.wantubizhi.com/img/A1A61BAA66193547F3A6DD7D8EE527E98026C416642AA94A59BC6BCAC2B5A976FF9C875E2523A6FCF8B66121751EFBDD9FE59A1E2C08FCA049CC765948ECB2F7D49C7948B60B0D70EB75020DD8BA556394F388005063D7EB0D20347DB457DE55)
y=arcsinx的图象特征和函数性质
图片尺寸419x598![反三角函数是反正弦arcsinx,反余弦arccosx,反正切arctanx,反余切arc](https://imgs.wantubizhi.com/img/735A5D1F980B52A636CC46F12F2D1A73BFFB2309E3E31014BC04B8F1BEEEE8D76798EADB04EC15C1B3A05E8FB20E776B625D5AEBD54F24A80E2CF7E52CF8A8C42CB294EC3ADBAF81558A130FA88DD0F6244574D475EDA1AD1DC09CAA616BACFC)
反三角函数是反正弦arcsinx,反余弦arccosx,反正切arctanx,反余切arc
图片尺寸682x280![y=arcsinx 的原函数的详细过程_360问答](https://imgs.wantubizhi.com/img/735A5D1F980B52A636CC46F12F2D1A73D27518E801ED4AFA7F084E732A25CF2F5DF89106F95B5044891E844BA61A032E6282B620E982EFF6E6157B3D0B9A39EE69A23F52849266BFBC18CE5A3B2CD5D1F685EC827CBE1D9A87B2345E6057A5AD)
y=arcsinx 的原函数的详细过程_360问答
图片尺寸420x253![高数:基本初等函数都学完啦,开始数列了,明天应该就能进到正式课中啦](https://imgs.wantubizhi.com/img/735A5D1F980B52A636CC46F12F2D1A73746F8E17E1C88AB4DB1B44A2DAAFB39D7D6CA819A56D67D566C544C11B680434478FCAEBB5D9B47CEFF04A3A068E5145849487DA47A413D2B78013D5685CCB9C6A9E75CF2699B300D258E383EE5B6199)
高数:基本初等函数都学完啦,开始数列了,明天应该就能进到正式课中啦
图片尺寸1080x1398![求函数y=arcsin(1-x)/4的反函数.详细过程](https://imgs.wantubizhi.com/img/ADDA3C5D760C6828B77B505A29D43E83E7B080400D76CAFDAF63FEA750530B6E2DF2FF954325700FC1CF593D1FD3B52785FE6231B6CB33872259671FE6A17F33E40E0EDBF8C3298041D8C70CB3B4B0810496ACC7D36673F2C3C44856D5B22E70)
求函数y=arcsin(1-x)/4的反函数.详细过程
图片尺寸549x227![然后分子分母同除以cosx/2,进行求解;502题,sinx与arcsinx进行转换时](https://imgs.wantubizhi.com/img/A1A61BAA66193547F3A6DD7D8EE527E948855F456F8D42472AD92A5C8AEBCECCE76050F6CF8AB5D3C77E08361C2B8B2E44B27F8A543BB9707E55221539EF6CFB2B4FC6515E3F5170629E2D64BDD9AEFAACDFA493C3A90849D4AD5F82DB474FEC)
然后分子分母同除以cosx/2,进行求解;502题,sinx与arcsinx进行转换时
图片尺寸1080x1085![sinx反函数(arcsinx)如上图:sin x 不是单调函数,所以它](https://imgs.wantubizhi.com/img/A1A61BAA66193547F3A6DD7D8EE527E9DE8EB67ED90F006932D014DB58D748D4E78A236987B4D96445591ACEDAE551E6FB52240903248B140C7B2E6E826C52B5F995C7A8497F87AE90A2BBDE029E6F2797325863BA40CC29D11C20408AD22174)
sinx反函数(arcsinx)如上图:sin x 不是单调函数,所以它
图片尺寸586x461![c语言反三角函数有哪些,反三角函数公式有哪些?](https://imgs.wantubizhi.com/img/ADDA3C5D760C6828B77B505A29D43E83107D4A2AA22C4011927CC1E8D67DD0CF9F0F896FC959E6F962C7A013781DC247DBA5631CA4F25E2D7FE5A2C49B75E6DE6B82702D1B48B1BBEE85A40C48511A80307E6E0A97F8D20A87906511D726F8D2)
c语言反三角函数有哪些,反三角函数公式有哪些?
图片尺寸735x415![则x∈ry=arctanx,则x∈ry=arccosx,则x∈[-1,1]y=arcsinx,则x∈[-1,1]](https://imgs.wantubizhi.com/img/735A5D1F980B52A636CC46F12F2D1A7337FE58DFA57DFA61860984B12A6DF6E9ACCAA0AE733480F3D2E6BF3A1D1757878CC96CAA972BEF93BF4F287EAE21B634C4318B111CE6AA222B85B1E636D4E646C4C0E7538AB4E546408506A308528B40)
则x∈ry=arctanx,则x∈ry=arccosx,则x∈[-1,1]y=arcsinx,则x∈[-1,1]
图片尺寸1517x1080![arcsinx是反正弦函数(反三角函数之一)的意思.](https://imgs.wantubizhi.com/img/735A5D1F980B52A636CC46F12F2D1A734D3935E9C334787512368DE46EE098706CD674A612A070CF9379219938FFBBB34BAA2CC370C7AC1B0F43EB289A44C1D27A566AB6CA953A35E5BD80028A6A3FB4CE4641DFFDF3AA846D9DC60E2D2DB0B6)
arcsinx是反正弦函数(反三角函数之一)的意思.
图片尺寸640x341![arcsinx](https://imgs.wantubizhi.com/img/ADDA3C5D760C6828B77B505A29D43E83808445175A3BB6D5E6B2DEF0EB642C70D0A23A23765184E247855328AEFF78A202E5F14808C75B5556A32B9AD7FF0741D6D4F79D31009DD13A46BBDEC0421E7052F108E2AC4D36B367B22023C89AB2D4)
arcsinx
图片尺寸291x375