y=arcsin（sinx）的函数图像怎么画？ 画出y＝arccos（sinx）的图像，答案理解。
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\u4f5c\u56fe\uff1a\u5148\u753b\u51fa\u51fd\u6570
\u5728
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\u53c2\u8003\u8d44\u6599\uff1a\u767e\u5ea6\u767e\u79d1-\u53cd\u6b63\u5f26\u51fd\u6570
\u89e3cos(arcsinx)=\u221a\uff081-x^2\uff09arcsin(-x)=-arcsinxarccos(-x)=\u03c0-arccosxarctan(-x)=-arctanxarccot(-x)=\u03c0-arccotxarcsinx+arccosx=\u03c0/2=arctanx+arccotxsin(arcsinx)=cos(arccosx)=tan(arctanx)=cot(arccotx)=x\u5f53 x\u2208[-\u03c0/2\uff0c\u03c0/2] \u6709arcsin(sinx)=xx\u2208[0\uff0c\u03c0]\uff0c arccos(cosx)=xx\u2208(-\u03c0/2\uff0c\u03c0/2)\uff0c arctan(tanx)=xx\u2208(0\uff0c\u03c0)\uff0c arccot(cotx)=xx>0\uff0carctanx=\u03c0/2-arctan1/x\uff0carccotx\u7c7b\u4f3c\u82e5 (arctanx+arctany)\u2208(-\u03c0/2\uff0c\u03c0/2)\uff0c\u5219 arctanx+arctany=arctan((x+y)/(1-xy))\u57fa\u672c\u516c\u5f0f\u4e0e\u6982\u8ff0\u6b63\u5f26\u51fd\u6570\u548c\u5b83\u7684\u53cd\u51fd\u6570\uff1af(x)=sinx->f(x)=arcsinx[1]
\u4f59\u5f26\u51fd\u6570\u548c\u5b83\u7684\u53cd\u51fd\u6570\uff1af(x)=cosx->f(x)=arccosx[1]
\u6b63\u5207\u51fd\u6570\u548c\u5b83\u7684\u53cd\u51fd\u6570\uff1af(x)=tanx->f(x)=arctanx[1]
\u4f59\u5207\u51fd\u6570\u548c\u5b83\u7684\u53cd\u51fd\u6570\uff1af(x)=cotx->f(x)=arccotx[1]
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2、这个函数是周期函数，最小正周期是2π；
3、在区间[－π/2，π/2]上，其图像是：y=x
4、根据上述分析，就可以画出函数图像。
绛旓細y=arcsin(sinx)鐨瀹氫箟鍩熶负R銆傚湪x鈭圼-蟺/2+2k蟺锛屜/2+2k蟺]鏃讹紝y=arcsin(sinx)=x-2k蟺锛宬鈭圸 銆傚湪x鈭圼蟺/2+2k蟺锛3蟺/2+2k蟺]鏃讹紝y=arcsin(sinx)=-x+蟺+2k蟺锛宬鈭圸銆傝〃杈惧紡姣旇緝澶嶆潅锛屾暣涓嚱鏁扮殑鍥惧儚鍏充簬鐩寸嚎x=蟺/2+2k蟺鎴愯酱瀵圭О锛屼负涓杩炵画鐨勬姌绾裤傚惈涔 鍚湁绛夊彿鐨勫紡瀛愬彨鍋氱瓑...
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绛旓細x = 蟺 - arcsin(y) 锛坹鍦╗-1, 1]涔嬮棿锛夌患鍚堜笂杩颁袱绉嶆儏鍐碉紝鎴戜滑鍙互寰楀埌锛歺 = arcsin(y) + k*2蟺 鎴栬 x = 蟺 - arcsin(y) + k*2蟺 锛坘鈭圸锛夊叾涓紝k涓烘暣鏁帮紝鐢ㄤ簬琛ㄧずsin(x)鍑芥暟鐨勪笉鍚屽懆鏈熴傚洜姝わ紝y=arcsin(sinx)鐨鍙嶅嚱鏁版湁鏃犳暟涓В锛屾瘡闅2蟺灏辨湁涓涓В銆
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绛旓細渚嬪 x = 5蟺/6, sin(5蟺/6) = 1/2, arcsin(1/2) = 蟺/6, 鍗 arcsin(sinx) = 蟺-x銆傛墍浠rcsin(sinx)涓嶇瓑浜巟銆傚熀鏈ц川 鈶犲鏋渪>y锛岄偅涔坹<x锛涘鏋測<x锛岄偅涔坸>y锛涳紙瀵圭О鎬э級銆傗憽濡傛灉x>y锛寉>z锛涢偅涔坸>z锛涳紙浼犻掓э級銆傗憿濡傛灉x>y锛岃寊涓轰换鎰忓疄鏁版垨鏁村紡锛岄偅涔坸+z>y+z锛...
绛旓細2016-07-13 浣滃嚭鍑芥暟y=arccos(sinx)鐨勫浘褰,杩欎釜鍥惧舰鐨勫垎娈佃〃... 73 2010-06-28 鐮旂┒涓嬪垪鍑芥暟鐨勫浘鍍忎笌鎬ц川:y=sin(arcsinx);y=... 11 2013-09-17 鍒ゆ柇鍑芥暟y=arcsin(sinx)鍜寉=sin(arcsi... 5 2012-11-10 姹傚嚱鏁y=arcsin(sinx)鐨瀹氫箟鍩,鍊煎煙,鍒ゆ柇瀹冪殑濂... 4 2015-10-13 涓轰粈涔坹=arcsin(...
绛旓細姹傚涓涓嬪嵆鍙紝绛旀濡傚浘鎵绀
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绛旓細鍏堟妸sinx 鐪嬫垚涓涓暣浣 姣斿 k=sinx 閭ｄ箞 y=arcsink 瀵兼暟搴旇濂芥眰鍚 鐢卞鏁板叕寮 y=arcsinx y'=1/鈭1-x^2 寰 y'=1/鈭1-k^2 * k' 鍥犱负k'=(sinx)'=cosx 鎵浠 灏咾 鐢▁琛ㄧず y'=锛1/鈭1-x^2锛 * cosx =cosx/鈭1-x^2...
