The Area of Triangle ABC Is Equal To

The area is alsodfrac12bcsin ABy the cosine law, a^2=b^2c^2- 2bccos A, so the left-hand side can be rewritten as -2bccos A2bc and we obtain the equality2(1-cos A)=dfrac12sin ANow note thattandfracA2=dfrac1-cos Asin A=dfrac14Thentan A=dfrac2tan(A/2)1-tan^2(A/2)=dfrac1/21- 1/16=dfrac815 a^2 - (b - c) ^2, where a, b, and c are the sides of triangle ABC, as usual. What is tan A?

1. Is ABC Institute better for Java or testing?

I got so Many knowledge and skills, which is very helpful for me . Now i have very good knowledge on Java. So i prefer this institute for up scaling IT skills. All faculties are very friendly and very helpful in nature. Placement services is Awesome. i got so many chances to prove myself. Its Really Nice experience with this institute for me. I would advice to all job seekers, freshers as well as experienced person to join here in order to excel in the career .Thanks ABC For Technology Training

2. The abc-conjecture as an inequality for inner-products?

The matrix $L_n$ is positive definite.Proof. The matrix $G_n$ with entries $

m gcd(a,b)$ is positive definite because of $G=D^TPhi D$ where $Phi=

m diag(phi(1),ldots,phi(n))$ ($phi$ the Euler's totient function) and $d_ij=1$ if $i|j$ and $0$ otherwise. Then the matrix $H_n$ with entries $frac1ab$ is positive definite because $$h_ij=int_0^1 x^ij-1dx$$ and the matrix with entries $x^ij-1$ is positive semi-definite for $x>0$. Finally $L_n=G_ncirc H_n$ (Hadamard product) is positive definite.

3. ABC This or That - Boys & Girls! (VERY LONG?) Please Enjoy!?

Adelaide -- Alexander Brooklyn -- Brandon Charlotte -- Charlie Dawn -- Dimitri Eden -- Ezra Fleur -- Felix Gwendolyn -- Gale Hailey (my name!) -- Henry Isabel -- Ian Jacqueline -- Jude Katherine -- Kellan Lyra -- Leo Madeline -- Matthew Nora -- Nolan Olive -- Oliver Penelope -- Peter Quinn -- Quinn Rowena -- Rowan Sage -- Stefan Thalia -- Tristan Uma Violet -- Victor Willow -- Westley Xena Yvette Zara -- Zander My favorites -- Adelaide, Charlotte, Isabel, Violet, Olive, Nora, Madeline, Jacqueline, Peter, Ezra, Alexander, Oliver, Felix, Leo, Jude, Henry... as you can see I loved a ton of the names you listed! My least favorites -- Breanna, Deidre, Marissa, Lilith, Solange, Usagi, Genesis, Perenelle, Guy, Tyler, Zeth, Quran, Vance & Forrest U names for Boys: Uriah (yur-eye-uh), Urie (yur-ee), Ulysses, Urian (yur-ee-an)... thats all I got. X names for Boys: Xavier, Xander, Xade, Xeven (zeh-vin), Xylan and Xanthus Y names for Boys: York, Yates, Yale and Yarden My top 5: Boys: -- Peter William -- Henry Arthur -- Jack Dexter or Dexter Jack "Dex" -- Sawyer Jonathan or Jonathan Sawyer "Johnny" -- Oliver Jude Girls: -- Violet Seraphina -- Mira Cosette -- Eleanor Ivy "Ella" or Ivy Eleanor -- Gemma Adelaide -- Isabelle Lucia "Belle"

4. Which is the best job providing consultancy, ABC or Qspiders?

Qspiders...I got plced coz of thm :))

5. Are you the type that still trusts ABC,NBC,CBS.?

They contributed to the recent shooting at the baseball field

6. Can you think of boy-girl twin names in ABC order? All the letters of the alphabet.?

Adelle-Anton Bonnie-Brandt Carly-Conal Desiree- Derek Erica-Edwin Francine-Forney Gina-Glen Heather-Hollis Ianna-Indigo Julie-Jared Kimberly-Kent Laura-Lionel Maura-Monte Natalia-Nigel Orleen-Onyx Patricia-Paul Quinn-Quest Raven-Raymond Sara-Shane Trixie-Teagan Uma-Ulyuss Vikki-Vincent Whitney-Wayne Xara-Xander Yola-Yale Zoe-Zeek

7. CBS & ABC Soaps: If They Redid DARK SHADOWS As A Daytime Serial, Who Would You Pick To Play The Characters ...?

OMG, Jewels, that's going waaay too far back! The only character I remember is Barnabas- I would pick David Hayward to play him

8. What type of placements do lawyers get after doing an MBA from a top B-school like IIM ABC?

Consulting firm focus more on diversity (of background) than most other professions. And that makes a lawyer with a well-rounded CV a hot property for consulting firms. One of my lawyer friends got into McKinsey and I know the same for a junior as well. Apart from consulting, there's hardly any job which has a strong preference for a diversity in background, and then, all diverse profiles are more or less treated at par with the rest of the batch, and judged based on CV. Some of the other lawyers I know are scattered across FMCG and General Management. The same holds true for other diverse profiles as well - doctors, etc.