(sin x - sin 3x)/(sin^(2)x-cos^(2)x)=2sinx 03:43 (cos 4x+cos3x+cos2x)/(sin 4x+sin3x+sin2x)=cot3x 02:49 cot x cot 2x-cot 2x cot3x-cot3x cotx=1 02:36 tan4x=(4tan x(1-tan^(2)x))/(1-6tan^(2)x+tan^(4)x) 05:56 Prove that : tan 3x=(3tanx-tan^(3)x...
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试以cotX表示cot3X 相关知识点: 试题来源: 解析 cot3X =1/tan3x=1/tan(x+2x)=(1-tanxtan2x)/(tanx+tan2x) tan2x=2tanx/(1-tan²x) ∴1-tanxtan2x=(1-3tan²x)/(1-tan²x) tanx+tan2x=(3tanx-2tan³x)/(1-tan²x) ∴cot3x=(1-3tan²x)/(3tanx-2tan³x)=(cot³x...
cot3X =1/tan3x=1/tan(x+2x)=(1-tanxtan2x)/(tanx+tan2x)tan2x=2tanx/(1-tan²x)∴1-tanxtan2x=(1-3tan²x)/(1-tan²x)tanx+tan2x=(3tanx-2tan³x)/(1-tan²x)∴cot3x=(1-3tan²x)/(3tanx-2tan³x)=(cot³x-3cotx)/(3cot²x-2) 解析看不懂?免费查看同类题...
=cos2x/(2cos²x)当x-->0时,原式=1/2结果一 题目 lim x——0的正无穷大(cot2x/cotx) 答案 cot2x/cotx=tanx/tan2x=sinx/cosx * cos2x/sin2x=sinx/cosx * cos2x/(2sinxcosx)=cos2x/(2cos²x)当x-->0时,原式=1/2相关推荐 1lim x——0的正无穷大(cot2x/cotx) ...
cot2x=−2cotx−1 https://socratic.org/questions/cot-2x-2cotx-1-help-this-is-a-trigonometric-equation-i-cant-figure-out x=(2k+1)π−4π,k∈Z Explanation: Here, cot2x=−2cotx−1 ⇒cot2x+2cotx+1=0 ... What is the second derivative of f(x)=cot(3x2−x) ? https:/...
f(tanx)=cot2x=(1-tanx*tanx)/(2tanx)f(x)=(1-x∧2）/（2X）所以f(cotx)=(1-cotx*cotx)/(2cotx)=-(1-tanx*tanx)/(2tanx)=-cot2x
依题意得:∵ (cotx)'=-1/(sin^2x)且cscx=1/(sinx)∴ -1/(sin^2x)=-cos^2x又∵ -1/(sin^2x)=-(sin^2x+cos^2x)/(sin^2x)=-1-(cos^2x)/(sin^2x)=-1-cos^2x因此本题说法错误。本题主要考察三角函数求导的内容对于函数y=cotx=1/(tanx),其求导后的结果为:-1/(sin^2x)这是十分常考的...
当x趋向于0时,求极限 lim ((1+x)/(1-x))^cotx 这种题是属于不定式,1^无穷型的.做法都是利用重要极限(1+1/x)^x当x趋于0时极限是e.将原表达式改写成重要极限的形式:【(1+x)/(1-x)】^(cotx)={【1+2x/(1-x)】^[(1-x)/(2x)]}^【2x/(1-x) * cotx】大括号里面就是重要极限的形式了...
百度试题 结果1 题目 limx趋近于派 cotx/cot3x 相关知识点: 试题来源: 解析lim_(x→∞)(cotx)/(cot3x)=lim_(x→x)(tan3x)/(tanx)=lim_(x→∞)(3sce^2)/(sece^2x)=lim_(x→∞) rac(3 反馈 收藏