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# AP Calculus AB

An interactive log for students and parents in my AP Calculus class. This ongoing dialogue is as rich as YOU make it. Visit often and post your comments freely.

## Saturday, October 01, 2005

### The Scribe of Calculand

"Haloo Everyone" We started yesterday's class by finding an equation of a given graph. As we were trying to find its equation some of us got stuck in finding the "B" of the standard equation, y= Asin/cos B(x-C)+D. Well in order to figure out the period of a given we should know how long did it take for a wave to complete's its cycle and most of us got stuck in that part. Then after that we answer another question that deals with this equation y=a sin(bx+c)+d and those letters are greater than zero. Then we've been asked whats its maximum and minimum value. We learned that in order to get its maximum and minimum value we juss add d and a for the maximum, and subtract d from a in order to get the minimum.

Next, is we learned about Pythagorean Identities. In order for us to memorize the Pythagorean Identities we should know this identity sin^20 + cos^2o= 1. Then after that we could move it around algebraically and we could get other identities. Also if we divide that equation with sin^2o we get another different identity, 1+cot^2o=csc^2o. All of those stuff might looks different but actually they're the same thing. I think that's all we learned last friday.

The next scribe is.....Ara

• At 9:23 PM CDT,  Mr. Kuropatwa said…

Well done Prince! I love that title. ;-)

You write at the end of the first paragraph:

"subtract d from a in order to get the minimum"

That should really be the other way around:

"subtract a from d in order to get the minimum"

I'm glad you draw everyone's attention to the fact that you can derive many of the trig identities from the original Pythagorean identity:

sin^2(θ) + cos^2(θ) = 1