Elijah Scribe Post - 3/31/11

Today in class, we talked about An identity is an equation that is satisfied by every number for which both sides are defined. Identities can help combine terms when dividing and multiplying. There are infinitely trigonometric identities, but only the most common identities should be memorized.

Reciprocal Identities

sin(x)=1csc(x) cos(x)=1sec(x) tan(x)=1cot(x)
csc(x)=1sin(x) sec(x)=1cos(x) cot(x)=1tan(x)

Tangent and Cotangent in Terms of Sin and Cosine

tan(x)=sin(x)cos(x)
cot(x)=cos(x)sin(x)

Pythagorean Identities

sin2(x)+cos2(z)=1
1+cot2(x)=csc2(x)
tan2(x)+1=sec2(x)

Odd/Even Identities

An odd function is one for which f(-x)=-f(x) and an even function is one for which f(-x)=f(x)
Odd Identities:

sin(-x)=-sin(x)
csc(-x)=-csc(x)
tan(-x)=-tan(x)
cot(-x)=-cot(x)

Even Identities:

cos(-x)=cos(x)
sec(-x)=sec(x)

Scribe Post Alex K. 3/30/11

Today we looked at a cool website that shows the graph of transformations of the sine and cosine functions.

Here's the link http://members.shaw.ca/ron.blond/sc.APPLET/index.html

This website was pretty neat to see and it was helpful for me, being a visual learner. We also learned that the sine of x is the exact opposite graph as the cosecent, so if the graph starts off above the x axis and drops down below for the sine of x, the cosecent of x it will start off below the x axis and rise up above the x axis. Rise up like the falcons were supposed to do against greenbay.... anyways on a better note, today was a productive day and the website is VERY helpful and helps you understand better what we are learning.

Next Scribe: Elijah

Scribe Post -Adan D: March 29, 2011

Today we learned more about graphing sine, and cosine, functions. On the unit circle:

sin α= y cosα=x tanα=y/x cscα= 1/y secα=1/x cotα=x/y

We also learned how amplitude changes the y values of the graph and how it is always positive. We also learned about the graph's period, which is the interval it takes for a sin or cos function to complete one cycle. Here is an example of a sine function:

Kelsey's Scribe Post March 28

Today we learned about the sine function, the equation y=a sin t, amplitude and the unit circle.

Jojo showed us this cool website that demonstrates the sine function.

http://www.intmath.com/trigonometric-graphs/1-graphs-sine-cosine-amplitude.php

and the cosine function (at the bottom of the above website)

Here is an example of a unit circle:

http://www.regentsprep.org/Regents/math/algtrig/ATT5/unitcircle.htm

SOHCAHTOA

SOHCAHTOA

Sine Opposite Hypotenuse

Cosine Adjacent Hypotenuse

Tangent Opposite Adjacent



sin α=a/c
cos α=b/c
tan α=a/b

csc α= c/a
sec α= c/b
cot α= b/a

Scribe Post March 1st Irfan

Today, we went over problems 1-16 that we had been assigned to finish. Many people in the class were thinking that trig has to do with side lengths, but we learned that it was not side lengths, but ratios. At the end of this post will be a website that you can go on to learn more about trigonometric functions. We also had time to catch up with other work in class.

Can you do Division? Divide a loaf by a knife - what's the answer to that? ~Lewis Carroll, Through the Looking Glass

Here is the link to the website that you can go to for extra help.. You can also google trigonometric functions

http://www.math-mate.com/chapter26_2.shtml

Elijah's Scribe Post - 2/28/11

Today in class we learned about trigonometric functions. Jojo drew a picture of a right triangle on the board and labeled an angle adjacent to the hypotenuse theta. In this triangle, the hypotenuse is labeled r, the vertical leg is y and the horizontal leg is x. Sine, cosine, and tangent are side ratios that you can use to determine unknown angles and sides of triangles. Sine (sin) is the ratio of opposite side over the hypotenuse, or y over r. Cosine (cos) is the ratio of the adjacent side over the hypotenuse, or x over r. And Tangent (tan) is the ratio of the opposite side over the adjacent side, or y over x. This can be remembered by the word SOHCAHTOA which stands for:

Sine
Opposite
Hypotenuse
Cosine
Adjacent
Hypotenuse
Tangent
Opposite
Adjacent


Or as it relates to our math class:

Signs
Of
Hovercrafts
Can
Actually
Harm
Teachers
Of
Arithmetic


Trigonometry is a sine of the times. ~Author Unknown