how do the graphs of sine and cosine relate to each of the others ?
tangent is like an inverse of a sine and cosine.
cotangent it uses the base of sin and cosine but in this one it has two parts of the graph
secant it is when ever cosine equal to zero and it looks like a parabola
cosecant when ever sine is zero and it has two asymptotes
Monday, April 21, 2014
BQ#5 unit T concept 1-3
5 Why do sine and cosine not have asymptotes, but the other four graphs do?
Both sine & cosine cycle past the value 0, therefore secant & cosecant approach 1/0, which isn't allowed mathematically. It is at this value you will find the asymptotes.
Both sine & cosine cycle past the value 0, therefore secant & cosecant approach 1/0, which isn't allowed mathematically. It is at this value you will find the asymptotes.
Friday, April 18, 2014
BQ #4 unit t concept
3 Why is a "normal" tangent graph uphill, but a "normal" tangent down hill?
There are parts of a graph that will slope down but after it reaches the center it turns 180 degrees and goes to the opposite direction. its like the unit circle when open the the fan and that sewwt lile
There are parts of a graph that will slope down but after it reaches the center it turns 180 degrees and goes to the opposite direction. its like the unit circle when open the the fan and that sewwt lile
Wednesday, April 16, 2014
BQ #2 unit T
What is a period ?
A period is a set of repeating graphs
Why is the period for sin and cosine 2 pie ?
It is because when graphing it the quadrants are different in sin and cosine have the negative on the same side as the other negatives and some with positives. it needs to go threw one whole round of it for a graph to finish.
What is amplitude ?
it is what number that will determine how far your graph will go up.
Why does sin and cosine have amplitudes of 1?
as you see in the unite circle we see that sin and cosine both have the hypotenuse in its equation and on the unit circle that hypotenuse is always one no matter what.
A period is a set of repeating graphs
Why is the period for sin and cosine 2 pie ?
It is because when graphing it the quadrants are different in sin and cosine have the negative on the same side as the other negatives and some with positives. it needs to go threw one whole round of it for a graph to finish.
What is amplitude ?
it is what number that will determine how far your graph will go up.
Why does sin and cosine have amplitudes of 1?
as you see in the unite circle we see that sin and cosine both have the hypotenuse in its equation and on the unit circle that hypotenuse is always one no matter what.
Friday, April 4, 2014
Reflection #1- Unit Q :Verifying Trig Identities
1. To verify an Identity is to find what is giving using your rules or functions. You need to find each one by rules of other trigs to ether simplify them the most you can or in an equation to prove it out. There are many ways you can solve for a trig function. Not all the steps are right so you can have your own way of doing it.
2.some tricks that i have are not really help full to most people but it helps me. I always look for anything that can be substituted.I look at old examples to see the procces and then i apply it. I also like to make the problem as simple as possible so that it wont confuse me.
3. These equations can be solved in so many ways. The steps i use in solving the equation start out with me looking at it and seeing if i can simplify it. the i look at each of the trigs and see if they are the same or not. After i look at that i see if any of them can be substituted to make them all match. After i do all that i just go with the flow and solve them by step by step. at the end i make sure my work is correct then move to the next problem.
2.some tricks that i have are not really help full to most people but it helps me. I always look for anything that can be substituted.I look at old examples to see the procces and then i apply it. I also like to make the problem as simple as possible so that it wont confuse me.
3. These equations can be solved in so many ways. The steps i use in solving the equation start out with me looking at it and seeing if i can simplify it. the i look at each of the trigs and see if they are the same or not. After i look at that i see if any of them can be substituted to make them all match. After i do all that i just go with the flow and solve them by step by step. at the end i make sure my work is correct then move to the next problem.
Wednesday, March 26, 2014
SP7: unit Q concept 2 identities
Please see my SP7, made in collaboration with Edna , by visiting their blog here. Also be sure to check out the other awesome posts on their blog
Saturday, March 22, 2014
I/D3: unit Q concept 1: Pythagorean Identities
Inquiry activity summeryWhere does sin^2x+cos^2x=1 ?
it comes form the Pythagorean theorem. and the Pythagorean theorem is an identity its self.
What is the Pythagorean theorem using x,y and r?
the equation is A^2+B^2=C^2. when we plot the coordinate plane using the unit circle we get X^2+Y^2=R^2. x is the horizontal leg y the vertical leg and r the hypotenuse. and r being the hypotenuse make the equation equal to 1.
Pythagorean theorem equals to 1
as you can see this is just the Pythagorean theorem when you divide the R and it shows how cos and sin are in the equation. x/r being cos and y/r being sin. we when can consider it an identity.
showing that the identity is true.
drive the identity with secant and tangent
to find it we divide the equation by cos^2x
and as you simplify the equation it turn out
drive the identity with cosecant and cotangent
to find this we divided the equation by sin^2x
and like the top equation we simplify and we find it.
inquiry activity reflection
1. i have realize that in the few unites we have learned that all interconnect with each other.
2. if i had to describe trigonometry in three words i would describe them as interesting, hard, and fun.
i really like this unit and how it all connects. it makes you think and use the other chapters to think about it and.
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