Where is Waldo? What is Waldo's heading? What is the xcor? What is the ycor? SHOW ALL OF YOUR WORK!
Study the many example problems carefully. SOH, CAH, TOA - Sine, Cosine, Tangent.
Where is Waldo? What is Waldo's heading? What is the xcor? What is the ycor? SHOW ALL OF YOUR WORK!
Study the many example problems carefully. SOH, CAH, TOA - Sine, Cosine, Tangent.
NetLOGO graphics draws the two legs of one of the two right triangles.
VIP: Twelve Turtles One Triangle: Trigonometry and Turtle Graphics - SOH, CAH, TOA.
A right triangle has two legs and one hypotenuse for its 3 sides.
The side opposite the right or the 90 degree angle is called the hypotenuse.
For any of the other two angles or corners in a right triangle,
one leg is adjacent to it, and
the other leg is opposite it.
SOH - The sine of an angle involves two sides - the opposite side (leg) and the hypotenuse.
CAH - The cosine of an angle involves two sides - the adjacent leg or side and
the hypotenuse (its other adjacent side,
that side is the HYP of the right triangle, right?).
TOA - The tangent of an angle involves two sides - the two legs of the triangle,
its opposite leg and its adjacent leg.
Opp Adj Opp
Sine = ------- SOH Cosine = ------- CAH Tangent = ------- TOA
Hyp Hyp Adj
Where is Waldo? What is the xcor? What is the ycor? SHOW ALL OF YOUR WORK! Done as an in-class exercise and example on 10/06/2015.
Note: only the first page, #1, where the turtles went a total distance of 2 + 3 + 2 = 7 was done in class.
Then each student typed in the NetLOGO code to see if their prediction of the output matches what the actual output was.
Did the 8 turtles form a perfect circle?
Where were your ODD turtles at? Where is turtle #1, WHO number 1, first ODD turtle?
Did you draw the ODD turtles at about the right location?
NOTE: VERY FEW STUDENTS GET THIS RIGHT UNTIL the 2nd half of the SEMESTER! So, no worries! :-)
Each slice of pie was 45 degrees. 360 divided by 8 = 45. 8 turtles. cro 8.
fd 2 with pen up, fd 3 with pen down, fd 2 with pen up again.
Problem: Where is turtle #1, the first odd turtle?
Type in and try out the code from the problem #1 of the old SHOW THE NetLOGO OUTPUT exercise.
What is the square root of (3 squared plus 4 squared)?
2 2 2 Why do odd turtles travel FD square root of 128?
5 = 3 + 4 If EVEN turtles travel FD 8,
and
if 2 2 2
8 = 64 and 8 + 8 = 128 ...
What is the square root of 9 + 16? What is the square root of 25?
The square root of 25 is 5, which is the length of the hypotenuse
if one leg has side length 3 and the other leg has side length 4,
then the hyp has a length of 5.
Which side are you on? Tri it out.
Where is the turtle? (xcor, ycor) pair is the where, the exact location in 2D space of the NetLOGO grid.
Trigonometry and right triangles. Its a SINE of the times.