Recent content by sharpycasio

http://in.answers.yahoo.com/question/index?qid=20080111225452AADKNLv I was told that tan(a/2)tan(b/2)+tan(a/2)tan(c/2)+tan(b/2)tan(c/2) =1 is useful. You can prove that by taking the tan of both sides of the following (a+b)/2 = 90 -c Thanks for trying.

No help at all? :(

Can someone please please help me? I only have about two more hours to solve this stupid question.

Thanks SammyS. Since a + b + c = π we can prove that (cot A)(cot B)(cot C) = cot A + cot B + cot C With that I did the following. Rearrange given equation: 2[tan(a/2) + tan(b/2) + tan(c/2)] < [tan(a/2) * tan(b/2) * tan(c/2)]^-1 2[tan(a/2) + tan(b/2) + tan(c/2)] < cot(a/2) * cot(b/2) * cot...

Homework Statement Show that the angles a, b, c of each triangle satisfy this inequality. \tan \frac{a}{2}\tan \frac{b}{2} \tan \frac{c}{2} (\tan \frac{a}{2} + \tan \frac{b}{2} + \tan \frac{c}{2}) < \frac{1}{2} Homework Equations The Attempt at a Solution I used the half angle...

This is exactly how I started working on it but then I got stuck. I ended up solving it a different way. I expanded the whole expression on a common denominator (abc). Then I factored the numerator into −(a−b)(a−c)(b−c) (See https://www.physicsforums.com/showthread.php?t=643010) Then I used...

You're a genius! Thank you. :)

Homework Statement This question stems from this one: https://www.physicsforums.com/showthread.php?t=642712 I think I know how to solve it now. The only problem is I have to show how to factor this expression into the form WolframAlpha shows. -a^2 b + a b^2 + a^2 c - b^2 c - a c^2 + b...

I am sorry for reposting the same question. It's just that I've been working on it for hours and I really have to solve it for tomorrow. My apologies.

I've done all the trig usually done at the high school level. My analytic geometry skills aren't that good though. Can someone please help me? I need to solve this for tomorrow. I've been working on it for like 5 hours and I'm still stuck.

Homework Statement Prove the following inequality for any triangle that has sides a, b, and c. -1<\frac{a}{b}+\frac{b}{c}+\frac{c}{a}-\frac{b}{a}-\frac{a}{c}-\frac{c}{b}<1 Homework Equations The Attempt at a Solution I think we have to use sine or cosine at a certain point because...

Can anyone please give me a hint? Thanks.

Homework Statement Prove the following inequality for any triangle that has sides a, b, and c. -1<\frac{a}{b}+\frac{b}{c}+\frac{c}{a}-\frac{b}{a}-\frac{a}{c}-\frac{c}{b}<1 Homework Equations The Attempt at a Solution I think we have to use sine or cosine at a certain point because...

I initially made a mistake (missed one arrangement). Right now I have 28. Thanks. (Previous post has been edited)

That's true! Thanks. So if I did it correctly this what I got for a 1 x 10 rectangle. (For simplicity, rectangle refers to 1x3 and square refers to 1x1)0 rectangles and 10 squares: 1 1 rectangle and 7 squares: 8 2 rectangle and 4 squares: 15 3 rectangle and 1 squares: 4Total = 28 ways to cover a...