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  1. 10^a = 3 log3 = a 10^b = 4 log4 = b log(2^2) = b 2log2 = b log2 = (b/2) log(5/6) = log5 - log6 = log(10/2) - log(2x3) = (log10 - log2) - (log2 + log3) = log10 - log2 - log2 - log3 = 1 - (b/2) - (b/2) - a = 1 - a - b

    分類:科學及數學 > 數學 2012年02月03日

  2. a) tanx=(1+cosx)/2sinx sinx/cosx=(1+cosx)/2sinx 2sin2x=cosx(1+cosx) 2(1-cos2x)= cosx+cos2x 2-2cos2x= cosx+cos2x 3cos2x+cosx-2=0 b) tanx=(1+cosx)/2sinx 3cos2x+cosx-2=0 (3cosx-2)(cosx+1)=0 cosx=2/3 or cosx=-1 x=48.2 o,180o or 311.8 o

    分類:科學及數學 > 數學 2009年06月14日

  3. ...something of his choosing, thus given his family history. e.g. Given that everything entails a cost, social assistance should be provided under strict...

    分類:社會及文化 > 語言 2008年07月28日

  4. I think the answer should be √7 / (10√2) . 25cos2x - 20cosx + 2 = 0 25(2cos²x - 1) - 20cosx + 2 = 0 50cos²x - 20cosx - 23 = 0 50(1 - 2sin² x/2)² - 20(1 - 2sin² x/2) - 23 = 0 200sin⁴x/2 - 200sin² x/2 + 50 - 20 + 40sin² x/2 - 23 = 0...

    分類:科學及數學 > 數學 2012年09月02日

  5. 7. Given that tanθ=5/2,find the value of (6sinθ-5sinθ)/2sinθ and (2sinθ+cos...2θ) + cos^3θ] = sinθ / cosθ - cos^3θ + cos^3θ = tanθ 9b. Given that square root3 sin-cosxsin^2-cos^3=0,find θ 圖片參考:http://hk.yimg...

    分類:科學及數學 > 數學 2007年03月18日

  6. 1. Given that a and b are the roots of a quadratic equation . ...6 = 0 or x2 + 5x - 6 = 0. ================================================== 2. Given that a and b are the roots of a quadratic equation x2...

    分類:科學及數學 > 數學 2007年01月13日

  7. Given that a*sin(x)=b*cos(y)=c*tan(z); What are the possible values of a,b,c,x,y,z...2013-08-15 19:08:31 補充: Inversely, sin(x):cos(y):tan(z)=bc:ca:ab if a,b,c are given .

    分類:科學及數學 > 數學 2013年08月22日

  8. 2. Given that {sn} converges to s and s > 0. (a) Prove that there exists...if n > N then sn > 0. Since sn →s , this means that given any ε>0 , there exits N=N(ε) such that |sn – s| &...

    分類:科學及數學 > 數學 2007年01月31日

  9. (A) (a, b) = (10, 9.9) The sides of the triangle: 10 cm, 10 cm, 9.9 cm It is close to an equilateral triangle, and thus each interior angle is close to 60°. Hence, it is an isosceles acute-angled triangle. (B) (a, b) = (10, 19.9) The...

    分類:科學及數學 > 數學 2013年12月30日

  10. 1. Give that if we try to outperform our counterparts every time we do something,we would often have to end up with disappointment and frustration. 上面的句子有誤,應是 Given that we try to outperform our counterparts every time (when) we do something...

    分類:社會及文化 > 語言 2013年03月02日

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