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Introduction to sine and cosine

The angle on the triangle in the first applet can be changed. Change the angle in the first applet so that the triangle is similar to the triangle in the second applet. Use the lengths given in the first applet to calculate the lengths required in the second applet.

Give the green side on the first triangle a name, such as Bob. Now the value of 'Bob' changes with the angle, so we need to specify 'Bob at 20°' etc. How is 'Bob' related to the green side on the enlarged triangle?

Give the red side on the first triangle a name, different than Bob. How is 'different than Bob' related to the red side on the enlarged triangle?

Here is some history of where the math name came from and why for us the name is as random as the name Bob.

 What name does math give to the green side of the first triangle? And to the red side or the first triangle?