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Choose Algebra 2 Textbook,
then Chapter 13,
then Lesson 13-6
then Interactivity
Complete Interactivity Lesson 13-6: The Tangent Curve using the Exploration Guide.
Take the Assessment.
Post a comment describing three things you learned about the tangent curve from this Interactivity.
Posts
15 years ago
18 comments:
When I used the tangent curve graph, I learned where the graph is undefined, but keeping in note that it is only this way for this specific graph. I also learned why it is this way. There can not be a 0 in the denominator and since cosine is 0 at some points, tangent is undefined. The positive tangent function goes from negative infinity to positive infinity along the y-axis, and never touches two places on the x-axis. That tells you the period interval.
when y is in standard position the tangent is the y coordinate of the terminal side of the triangle, When you increase the amount of the deg. the closer and more arced the function becomes
Shane is the first comment posted...I forgot my name...
I learned that negative degrees are the same distance from zero but negatives go clockwise whereas positives go counterclockwise; quad I angles are greater than quad II or III because x and y are both positive and have a positive ratio, but quad II has 1 negative and 1 positive point, making it have a negative ratio, so the positive ratio (quad I) is greater than the negative ratio (quad II and III); + or - pi/2 is undefined
When the Ø is raised the y value increases as the x value decreases, and vice versa for decreasing numbers.
Noemi Blk.2
three things i learned was that between the asymptotes gives us the period of tanget function. also the smaller a tan is it is still greater than a larger tan just like a positive number is greater than a negative number. to include i learned that y= tanø=0
What a great program!!!
I learned that -π/2 and π/2 are both undefined when they equal the ø of y . Also that the Tan of 30˙is greater than the tan 120´
when i used the tangent curve, i learned how to determine the x or y- coordinates based on when ø = 45 degrees as well as the curves
ariella
Three main components that I learned from this interactivity:
1)(0,1) and (0,-1) are coordinates that generate undefined answers for tangent equations.
2)Asymptotes are used for undefined answers.
3)Graphs go from down to up when starting a new period.
-Kenny
i learned that at tan -45 degrees it is on -1..and that wen its tan 3.14 is O
jessica
three things things that i learned was how to determine an undefined graph for example when (0,1)
and (0.-1) are both undefined. the more you increase in degrees the smaller the arc becomes on the circle. the last thing that i learned was that when a tan is small it is still larger than the smaller tan on a circled graph
Mz.Trenna
I didnt really understand wat was going on! it was really confusing! but using the exploration guide made it easier for me. it was really long to read and didnt want to but i had to so i did and i cant really contribute because i guessed based on the guide and got 3 outta four! but ok yah im out!!!!
I learned that the vertical asymptotes, at the end of each cycle of the tangent curve, determine the period of the function.
Sista Str8 Up
The Musician
Hey Ms. Lynch, i actually got it for once. I now know that, Tan 45= 1.000 and Tan 0= 1.732. Also, pi/2 and -pi/2 are both undefined. I did the Assessment Test and got 3 out of 4. I got numbers 1-3 right, but # 4 wrong.
**JaLeesa Turner-Jazzy J**
i learned that when the asymptotes of the at the end of the tangent cycles, the distance between the asymptotes gives me the period of the tangent function.
-sebastian
Frankelley
I learned that 1 and -1 are both undefined when looking for the tan.I also learned that - and + degrees from zero have the same distance. The thing that I don't like is all the reading to learn something so simple.
As I was using the tangent curve graph I learned where the graph can be undefined. The positive tangent function goes from negative infinity to positive infinity along the y-axis, and it never touches two points on the x-axis. The more the increase in degrees the smaller the arc becomes on the circle.
~La'crishia
Alex Williams
While using the tangent graph i learned that 90 and 270 degrees are both found as undefined due to the 0's in their denominator. This also proves true for the radian amounts of π/2 and 3π/2.
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