A Word That Defines Me

BIZARRE.

WEBSTER'S NEW WORLD DICTIONARY DEFINES ME AS:
(bi zar') adj.
1:odd; grotesque
2:unexpected; fantastic

I DEFINE ME AS:
(biz ar'e) category.
1:weird; freakish
2:abnormal; a person whom one looks at, maybe even stares, but then looks away, once again

Bizarre, this is me. In one single word i can cram my whole personality and stuff my entire being into this simple 7 letter word, and ,yes, i did have to count just now.

Would you like to know how i came up with this word for me?
..well..probably not but im oing to pretend that you said "yes".
















If you have a phone, you probably text, im only assuming. And if you text you might just probably get chain messages (once again, assuming) (i hate chains). Well one day i received a chain message telling to pass it on blah blah blah but the message was to send to as many people as you so desired and have them describe you in one word with the beginning letter of their own name, now normally i wont send this on but this one seemed intresting so i sent one to my love and his name just so happened to begin with B. And voila, he sent back a one worded text "Bizarre". It's stuck, cause it fits.

Today In Math

ok, for my wld lit blog assingment we have to create 4 more entries, this of course is the first of my 4.

SO, today or rather this week, in math class we are starting a new chapter, chapter 7 Analytic Trigonometry. Sounds fun, right? Oh, and for those of you who did not know i am in algebra II/trig this year.
wicked smart, right?
well..no, more like wicked dumb but, that's a diff story.

7.1 USING FUNDAMENTAL IDENTITES

in this chapter (which i still have to do the homework for XP) is about applying the fundamental trigonometric identites(obviously) to problems given to us. There are 5 different types of identites:
Reciprocal Identites:
sin u = 1/csc u cos u = 1/sec u tan u = 1/cot u

csc u = 1/sin u sec u = 1/cos u cot u = 1/tan u

*tip~the only change between these is just making the second set of equations the inverse of the first, which is pretty much what csc, sec, & cot are, the inverses of sin, cos, & tan.

Quotient Identites:
tan u = sin u/cos u cot u = cos u/sin u

*tip~once again the only thing to catch here is that its just the tan equation in inverse form using cot.

Pythagorean Identities:
sin^2 u + cos^2 u = 1 1 + tan^2 u = sec^2 u 1 = cot^2 u = csc^2 u

*fyi~for those who do not know or remember ^ means exponent, in this case ^2 means squared. sin=sine cos=cosine tan=tangent csc=cosecant sec=secant cot=cotangent

Cofunction Identities:
sin(pi/2-u) = cos u cos(pi/2-u) = sin u

tan(pi/2-u) = cot u cot(pi/2-u) = tan u

sec(pi/2-u) = csc u csc(pi/2-u) =sec u

*fyi~pi is 3.141592654...etc
*tip~inverses

Even/Odd Identities:
sin(-u) = -sin u cos(-u) = cos u tan(-u) = -tan u

csc(-u) = -csc u sec(-u) = sec u cot(-u) = -cot u

*tip~guess what?...inverses!

ex. 1
simplifying a trigonometric expression

sin x cos^2 x-sin x

sin x cos^2 x-sin x= sin x(cos^2 x -1) monomial factor
=-sin x(1- cos^2 x) factor out -1
=-sin x(sin^2 x) pythagorean i.d.
=-sin^3 x multiply

ex.2
factoring trigonomrtic expressions

csc^2 x - cot x - 3

csc^2 x - cot x - 3 = (1 + cot^2 x) - cot x - 3 pythagorean i.d.
= cot^2 x - cot x - 2 combine like terms
= (cot x - 2) ( cot x + 1) factor