求X,x is in radians1）sin^2x- cosx =12）2sin^2-tanxcosx-1 =0

来源：学生作业帮助网 编辑：作业帮 时间：2024/11/08 16:37:53

求X,x is in radians1）sin^2x- cosx =12）2sin^2-tanxcosx-1 =0
求X,x is in radians
1）sin^2x- cosx =1
2）2sin^2-tanxcosx-1 =0

求X,x is in radians1）sin^2x- cosx =12）2sin^2-tanxcosx-1 =0
1）sin²x- cosx =1
1-cos²x-cosx=1
cosx(cosx+1)=0
cosx=0,cosx=-1
x=kπ+π/2,x=2kπ+π
2）2sin²x-tanxcosx-1 =0
2sin²x-(sinx/cosx)cosx-1=0
2sin²x-sinx-1=0
(2sinx+1)(sinx-1)=0
sinx=-1/2,sinx=1
sinx=1时x=2kπ+π/2
此时tanx无意义
所以sinx=-1/2
x=2kπ-5π/6,x=2kπ-π/6

(1)sin^2x- cosx
=1-cos^2x-cosx
=1
所以-cos^2x-cosx=0
则cosx=0或-1
x=π/2或π
（2）2sin^2x-tanxcosx-1
=2sin^2x-sinx-1=0
所以sinx=1或-1/2
x=π/2（舍）或5π/6

1）sin^2x-cosx=sin^2x+cos^2x
cox(1-cosx)=0
x=π/2+kπ 或 x=2kπ
2）
2sin^2x-tanxcosx-1=0
2sin^2x-sinx-1=0（cosx≠0）
（2sinx+1)（sinx-1）=0
sinx=-1/2 或sinx=1（舍去）
x=-π/6+2kπ 或x=-5π/6+2kπ

求X,x is in radians1）sin^2x- cosx =12）2sin^2-tanxcosx-1 =0 使用洛必达法则求极限（X*In(X+2e^X))/In(X+e^（X^2）). x趋于无穷大 求In（Inx）/x的不定积分. x趋向于无穷,求x乘以In（x/x-1）的极限 求不定积分In x /(x+1) f(x)=e^x（x≤0） In^x（x＞0） 求f[f(1/2)] 已知In x=2+In2/x,求x 已知In x=2+In2/x,求x 求In(x+1)/x(1+x^2)的不定积分 1.-1/4(xy+1)^2+1/16(1-xy)^22.已知xy=2,x^2+y^2=5求：（x-y）^2的值.3.The weather in Kunming is nice.The weather in Guangzhou is nice,too.(合并成一句)The weather in Kunming is ( ) nice ( ) that in Guangzhou.第一题是分解因式（完整 求极限lim（In（x-1）-x）／tan（1／2x）. x趋近于1+ 数学对数导数题f（x）＝e^x In x x大于0,求f'(1) 求极限（X趋向于0）lim(1/x-1/(x^2)*in(1+x))的值 已知In x=2 In2/x,江x已知In x=2+In2/x,求x 问一道数学求反函数：y=In（x+开根1+x^2）问一道数学求反函数：y=In（x+开根1+x^2） 求翻译：Need to know if shorts come in bibs.also my waist is 39.so do I need 2x or 3x in shorts 已知函数f(x)=In(x+1)-x.（1）求函数f（x）的最大值.（2)若x〉-1,证明1- 1／x-1≤In(x+1)≤x 已知函数f(x)=in(1+x)-x^2/1+x.g(x)=2(1+x)In(1+x)-x^2-2x (1)h(x)=g'(x),求h(x)的单调区间及最大值 （2）求f(x)的单调区间急!