I genuinely feel sick.
I'm not sure of its cause however.
Maybe it's the fact I have exams beginning on Wednesday(maths exam tomorrow though).
Or maybe it's because, yet again, I find myself in a position with Laura where I dont want to argue but my locked up feelings are killing me.
Or it could be my extensive research for my History project. Choosing the harrowing disaster of the Hillsborough Crush was not a very good idea.
Yet, I do not find myself upset or anything. Just sick.
Sunday, May 17, 2009
Math is a wonderful thing
i need you to edit in pi symbols, degrees, fractions and the like because I don't know how.
Trigonometry 1
Radians & Degrees
Definition of a radian:
- One radian is the angle at the centre of a circle when the arc length is equal to the radius.
- To convert radians into degrees we use the conversion of:
180(degrees) = (pi) radians.
This conversion comes from our knowledge that the angle of the centre of a circle is 360(degrees). If the circle has radius R, then the arc length, S, is the full circumference, which is 2(pi)r.
Therefore 2(pi)radians = 360(degrees) so (pi)radian = 180
Simple Conversions:(Do these as a type of question, i.e. if I have 60 degrees, how many radians do I have. so have the degrees come up first and then the radians in transition, if you know what i mean)
90(degrees) = (pi over 2)
60(degrees) = (pi over 3)
270(degrees) = (3pi over 2)
Complex Conversions:
These conversions do not appear in the log tables and thus you must calculate them yourself.
To do this you have to:(can i get a picture of each step on the side? i.e. for step 2 can I have something that shows what it actually looks like?
- Use your conversion of 180(degrees) = (pi) radian
- Find one degree by putting (pi) radian over 180(degrees)
- If 1(degree) =(pi)radian over 180(degrees) then X(degree) = X(pi)radians over 180(degrees) where X is the number of degrees you look to convert.
Conversion Example:
150(degrees) =150(pi) over 180(degrees) = 5(pi) over 6
Converting Radians to Degrees:
- Use your conversion to find (pi)radian and solve for question e.g. (just an example, not a question i will ask class)
Convert 5(pi) over 3 to degrees.
(pi) = 180(degrees)
5(180degrees) over 3 = 300(degrees)
ARC FORMULA:
s = r(theta)
where S is the arc length, R is the radius and (theta) is the angle
(theta) must be in radians.
We can use this formula if we only need to find one unknown.
Example:
Find the arc length of a circle with radius 3cm and an angle of 45(degrees)
First we must convert 45(degrees) into (pi) over 4 radians
Then we use the formula to find the arc length
s = r(theta)
s = 3(pi) over 4
Trigonometric Ratios:

SOHCAHTOA
sin(theta) = opposite(over)hypotenuse = A(over)C
cos(theta) = adjacent(over)hypotenuse = B(over)C
tan(theta) = opposite(over)adjacent = A(over)B
Other trigonometric ratios are:
sec(theta) = 1(over)cosA
cosec(theta) = 1(over)sinA
cot(theta) = 1(over)tanA = cosA (over) sinA
COMPLEMENTARY ANGLE RESULTS(cant find picture like one in book)
All the angles in a triangle must be equal to 180(degrees)
Therefore if a right angled triangle has an angle A, the final angle can be calculated as 90(degrees) - A.
Cos(90degrees - A) = sinA
Sin(90degrees - A) = cosA
Tan(90degrees - A) = cotA
I cant do the last page of section 2. God, Kate, I'm sorry this is so crap =( I'm useless at stuff like this. I realise i've left you with a lot of work to do, again, I'm really really sorry
Trigonometry 1
Radians & Degrees
Definition of a radian:
- One radian is the angle at the centre of a circle when the arc length is equal to the radius.
- To convert radians into degrees we use the conversion of:
180(degrees) = (pi) radians.
This conversion comes from our knowledge that the angle of the centre of a circle is 360(degrees). If the circle has radius R, then the arc length, S, is the full circumference, which is 2(pi)r.
Therefore 2(pi)radians = 360(degrees) so (pi)radian = 180
Simple Conversions:(Do these as a type of question, i.e. if I have 60 degrees, how many radians do I have. so have the degrees come up first and then the radians in transition, if you know what i mean)
90(degrees) = (pi over 2)
60(degrees) = (pi over 3)
270(degrees) = (3pi over 2)
Complex Conversions:
These conversions do not appear in the log tables and thus you must calculate them yourself.
To do this you have to:(can i get a picture of each step on the side? i.e. for step 2 can I have something that shows what it actually looks like?
- Use your conversion of 180(degrees) = (pi) radian
- Find one degree by putting (pi) radian over 180(degrees)
- If 1(degree) =(pi)radian over 180(degrees) then X(degree) = X(pi)radians over 180(degrees) where X is the number of degrees you look to convert.
Conversion Example:
150(degrees) =150(pi) over 180(degrees) = 5(pi) over 6
Converting Radians to Degrees:
- Use your conversion to find (pi)radian and solve for question e.g. (just an example, not a question i will ask class)
Convert 5(pi) over 3 to degrees.
(pi) = 180(degrees)
5(180degrees) over 3 = 300(degrees)
ARC FORMULA:
s = r(theta)
where S is the arc length, R is the radius and (theta) is the angle
(theta) must be in radians.
We can use this formula if we only need to find one unknown.
Example:
Find the arc length of a circle with radius 3cm and an angle of 45(degrees)
First we must convert 45(degrees) into (pi) over 4 radians
Then we use the formula to find the arc length
s = r(theta)
s = 3(pi) over 4
Trigonometric Ratios:
SOHCAHTOA
sin(theta) = opposite(over)hypotenuse = A(over)C
cos(theta) = adjacent(over)hypotenuse = B(over)C
tan(theta) = opposite(over)adjacent = A(over)B
Other trigonometric ratios are:
sec(theta) = 1(over)cosA
cosec(theta) = 1(over)sinA
cot(theta) = 1(over)tanA = cosA (over) sinA
COMPLEMENTARY ANGLE RESULTS(cant find picture like one in book)
All the angles in a triangle must be equal to 180(degrees)
Therefore if a right angled triangle has an angle A, the final angle can be calculated as 90(degrees) - A.
Cos(90degrees - A) = sinA
Sin(90degrees - A) = cosA
Tan(90degrees - A) = cotA
I cant do the last page of section 2. God, Kate, I'm sorry this is so crap =( I'm useless at stuff like this. I realise i've left you with a lot of work to do, again, I'm really really sorry
Sunday, May 10, 2009
High & Dry
Radiohead just came on on my iPod. Wayyyyy! =) Depressed overdramatic blog this is going to be!
I realised rather suddenly tonight that I harshly fucked Laura right over, twice. I can't believe I did it. I'd give everything I own for a chance to erase all the pain I caused her. I wish history was like a blog, where we could just edit it with a simple tap of the backspace key. But life has it's little discrepencies. It just makes me phyically nauseous.
That's all I can muster up. Apologies.
Thanks,
Karl
xx
I realised rather suddenly tonight that I harshly fucked Laura right over, twice. I can't believe I did it. I'd give everything I own for a chance to erase all the pain I caused her. I wish history was like a blog, where we could just edit it with a simple tap of the backspace key. But life has it's little discrepencies. It just makes me phyically nauseous.
That's all I can muster up. Apologies.
Thanks,
Karl
xx
Thursday, May 7, 2009
Life in Disguise
No real direction in this blog, just felt like doing one.
So after the blog the other day that proclaimed my extreme depression at that moment. However, afterwards I decided to do something which had frightened me into submission on more than one occasion. I went college seeking. Radiography is my ideal career but 500 points is asking a lot and I can't put myself under that pressure. So I researched courses and there are a few I like, the main one being History.
Then me and Laura planned moving to Galway. That'd be amazing, living together, not having to worry about people bitching or whatever. Good buzz.
Today was going well and I was =)
But then Ms.Clifford decided to givethe whole class detention for a few people talking. I don't even sit beside anyone to talk to!
So I was pissed, obviously. Have to get up earlier on a Monday morning!
Can't really think of anything else
Thanks,
Karl
xx
So after the blog the other day that proclaimed my extreme depression at that moment. However, afterwards I decided to do something which had frightened me into submission on more than one occasion. I went college seeking. Radiography is my ideal career but 500 points is asking a lot and I can't put myself under that pressure. So I researched courses and there are a few I like, the main one being History.
Then me and Laura planned moving to Galway. That'd be amazing, living together, not having to worry about people bitching or whatever. Good buzz.
Today was going well and I was =)
But then Ms.Clifford decided to givethe whole class detention for a few people talking. I don't even sit beside anyone to talk to!
So I was pissed, obviously. Have to get up earlier on a Monday morning!
Can't really think of anything else
Thanks,
Karl
xx
Wednesday, May 6, 2009
The Hardest Part
It's amazing how a quick blow can make everything tumble.
My uncle died on Thursday, I dont know what to write about that. It is horrific watching 4 kids bury their father, without their mother being there. I understand why people lose belief in God, this has just made mine stronger.
Where to next...
Things with Laura haven't been great lately either. I'm such a fuck up. She's getting pissed off and I don't blame her. It's only a matter of time until she finds someone better. She's going to America for 2 weeks, I'll be amazed if she doesnt find someone better there.
Next...
Aoife asked me today was I going to London? I was like "sorry what?" and she looked horrified, I guess she wasnt meant to tell me. A quick scan of another blog tells me Vicky and Aoife are favoured, ah yes because I'm a boring cunt, the joys.
Anything else?
Ah yes, having a foster child. Absolutely shit.
I swear I dont know why I try, what's the point? I hate sounding all melodramatic but I just cant find a light to latch onto.
Tom Delonge told 999 others and I that you have to wake up every morning, look in the mirror and love yourself. And when you're out walking, you need to realise the thousands of miracles that are happening just to make every single moment perfect.
I've been listening to AvA, they've become a....comfort band. Snow Patrol & Bloc Party are there for two extremes of emotion, elation and sorrow. AvA are there when I want to feel sad but fall in love with the world again. I just need to try get up the....strength to...I've lost what I was going to say. A tear just formed in my eye.
You feel bad y'know? Here I am complaining because of whatever, yet these "problems" pale in comparison to losing your dad at 16.
I just finished a great book, Confessions of a Fallen Angel by Ronan O'Brien. It was amazing, loved every page of it. Shockingly upsetting however, it's kind of like the Green Mile, you know what is going to happen and yet you are still shocked and upset when it does. It takes a very good author to do it.
Anyway, I'm just about done. I need to go try think of what I've done to Becky to make her mad at me. I've got to just fucking wake from this lull
Thanks,
Karl
xx
My uncle died on Thursday, I dont know what to write about that. It is horrific watching 4 kids bury their father, without their mother being there. I understand why people lose belief in God, this has just made mine stronger.
Where to next...
Things with Laura haven't been great lately either. I'm such a fuck up. She's getting pissed off and I don't blame her. It's only a matter of time until she finds someone better. She's going to America for 2 weeks, I'll be amazed if she doesnt find someone better there.
Next...
Aoife asked me today was I going to London? I was like "sorry what?" and she looked horrified, I guess she wasnt meant to tell me. A quick scan of another blog tells me Vicky and Aoife are favoured, ah yes because I'm a boring cunt, the joys.
Anything else?
Ah yes, having a foster child. Absolutely shit.
I swear I dont know why I try, what's the point? I hate sounding all melodramatic but I just cant find a light to latch onto.
Tom Delonge told 999 others and I that you have to wake up every morning, look in the mirror and love yourself. And when you're out walking, you need to realise the thousands of miracles that are happening just to make every single moment perfect.
I've been listening to AvA, they've become a....comfort band. Snow Patrol & Bloc Party are there for two extremes of emotion, elation and sorrow. AvA are there when I want to feel sad but fall in love with the world again. I just need to try get up the....strength to...I've lost what I was going to say. A tear just formed in my eye.
You feel bad y'know? Here I am complaining because of whatever, yet these "problems" pale in comparison to losing your dad at 16.
I just finished a great book, Confessions of a Fallen Angel by Ronan O'Brien. It was amazing, loved every page of it. Shockingly upsetting however, it's kind of like the Green Mile, you know what is going to happen and yet you are still shocked and upset when it does. It takes a very good author to do it.
Anyway, I'm just about done. I need to go try think of what I've done to Becky to make her mad at me. I've got to just fucking wake from this lull
Thanks,
Karl
xx
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