Recent content by equilibrum

daniel rey m. 's explanation is similar to what i was trying to convey but really,anything goes. A line is an axiom anyway,no?

Would it be appropriate to say that a line is the direct displacement between two points?

I have started to attempt the questions in my book and for now I have no problems with the basic questions. However, I am still a little unsure of questions that require you to find the maximum and minimum value. For one,I do not know when to use Rcos,Rsin etc. and I don't really get the...

So to decide which R formula to use, we must first determine which terms come first(eg, asin + bcos or acos + bsin) and the required output(Rsin or Rcos) and expand accordingly to get the required R formula to solve the problem , am I right? EDIT: Oh i think I saw somewhere that alpha must be a...

I saw a few types of R formula. There are the ones with asin +- bcos and those with acos +- bsin = Rcos/sin(theta +- alpha)

Yes i do know how to convert. Can you tell me all of the possible variants of the R formula and the required arctan function for α? I found a sin θ + b cos θ = R sin(θ + α) online and in my textbook,but the website states that α = arctan(b/a) whereas my textbook states that α = arctan(a/b)...

Can someone explain to me the R formula?(expressing \displaystyle a cos \theta + b sin \theta in terms of R sin(\theta + \alpha) ) I don't really understand my textbook at all which jumped straight to the questions. Could someone please enlighten me on the logic behind this concept and how...

Yeah cause it seems to go against gravity. It's fine though :)

thanks for the two equations! i am playing around with them. Just to check, v = velocity of fluid , g = 9.81m/s^2 and p = fluid density?

That explained a lot ^^ still a little confused about hydrostatic pressure though.

I remember when I was young I saw people emptying the water from their tanks using a flexible tube(without any pumps or other mechanical device). If I am not wrong, you first fill the tube with a little bit of water and make a U shape,then you close the 2 ends with your thumbs and put the tube...

Okay wait i cheated a little by looking at my RHS that i have converted into a fraction and i got it. Thanks alot! the numerator factors into ( 1-sinA) ( 2+2cosA) am i right? :)

Do you group the sin and the cos together before factoring? If so,where do we put the troublesome sinAcosA? i'm really bad at this. I only managed to factor the denominator to cosA(2+2cosA)

I think i went wrong? I finalized to , 2+2cosA - 2sinA - 2sinAcosA ---------------------------- 1 + 2cosA + cos^2A - sin^2A Sorry if this is hard to read,i don't know how to use latex. :/

Don't i need to account for the RHS also? Or are we rationalizing like we do for surds?