Activities/Turtle Art/Tutorials/Measuring Slopes of tangents: Difference between revisions

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If we take any angle inside the range [-90,90], and take the x and y coordinates of a point on one side, we can build a right triangle with that angle and with sides equal to the coordinates, thus.
If we take any angle inside the range [-90,90], and take the x and y coordinates of a point on one side, we can build a right triangle with that angle and with sides equal to the coordinates, thus.


[[File:TACoordinateTriangle.png
[[File:TACoordinateTriangle.png]]


If we make the lower side of a fixed length, and take that length as the unit of measure, the length of the other side is a function of the angle. In the following diagram, we use a radius of a triangle as the fixed side. The other side in this triangle is tangent to the circle.
If we make the lower side of a fixed length, and take that length as the unit of measure, the length of the other side is a function of the angle. In the following diagram, we use a radius of a triangle as the fixed side. The other side in this triangle is tangent to the circle.