Tom C

Hopefully my notation is clear...

I need to prove that 1+(1/tan^2 (a))=(1/sin^2 (a)), using basic trig identities.

Any help is much appreciated! Thanks!

Hello.

I'm trying to teach myself how to play the piano and would like some guidance on where to start. Which songs should I be learning so that I can build my fingering/two hand skills?

Many thanks!

I know x=±sqrt2, however I am a little unsure on how to factorise this using difference of two squares, seeing as the x is negative.

Many thanks!

The height is 10cm and a surface area of 12000pi cm^2.

How would I work out what the radius of the cylinder is?! I know that surface area = 2pi r^2 + 2pi r h

Thank you!

f(x)=x^2-6x+14

The y intercept of f(x) is 14.

The graph is then transformed by f(x-1).

What is the y intercept of f(x-1)?

Thank you!

Firstly, let me make it clear that I am not looking for what x equals, just proof that the equation equals 0.

Here is the full question:

Peter cuts a square out of a rectangular piece of metal.

___________________

|.....................................|

|........________.............|

|........|

|........|

|........|_______|.............|

|___________________

The length of the rectangle is 2x+3

The width of the rectangle is x+4

The length of the side of the square is x+2

The area of the shaded shape (the metal remaining) is 20cm^2.

Show that x^2+7x-12=0.

So I love programmes such as House and Lost and I need some more programmes with long seasons to watch. What do you guys recommend that have the same kind of feel as House and Lost?

Thanks!

I am just starting out with running. I am doing a walk/run/walk/run build up at the moment but would like to speed up this process with some cross training on running rest days.

I am unsure on how far I should start cycling though?

Any help would be appreciated!

I am a completely confident person, I can get on stage and speak in front of hundreds of people.. But I'm also extremely insecure. I really worry about losing the people I love as well as sometimes believing that I'm not good enough for them.

To me, confidence and insecurity are kind of opposites.. so how am I both at the same time?

Thanks!

The three books are:

Angels and Demons

The Da Vinci Code

The Lost Symbol

Which order are these books supposed to be read in?

Thanks

I have recently been reading a lot about sociopaths and I believe that I conform to a lot of the personality traits. I am thinking that I am a sociopath, at least to some extent. The weird thing, however, is that I feel proud about this.

Why? Thanks :)

I am writing a speech on the suffragette movement, and I was wondering if there were any figures on how many women voted/didn't vote in the last election?

Thanks

I'm 15 years old and I used to be extremely confident. I could make speeches, give talks and presentations... everything. However, this is no longer the case. I am rather reserved in everything I do and I worry about what others think of me. I've read that you should fill your time with things that you love to do, however, the things that I love to do require confidence. I love making presentations and speeches!

I also have absolutely no motivation to do anything. I leave everything until the very last minute. The thing is... I'm not doing anything to fill up the time that I could be doing work in.

Is there anything that I can do to regain my confidence and motivation?

Many thanks...

Is there an easy way of finding a square/rectangle that has the same value for it's area as it does it's perimeter?

I'm thinking of buying this domain, but what do you think of it?

I've got a MacBook Pro 15 inch Core i7, and I think it's a great laptop! But i've seen videos where computers start up in 23 seconds, is 35 seconds still fast?

I'm on my Summer holidays at the moment, and I'm already bored! So, I'd like a long term project that I can really get my teeth into.

The only thing is... I'm not arty or sporty in the slightest! So, what sort of things could I do?

Any help is appreciated! :)

I'm bored. What can I do?

I'm bored of my PS3, PSP, Wii... Everything!

I'm not in the mood to read

I haven't got any good iPhone apps (can you recommend any?!)

My friends are all out.

Ideas?!!!

Thanks :)

What could 930 Kilowatts per hour per Kilowatt peak power?