Will someone please explain trigonometric line value diagrams to me? I know it has something to do with the six trigonometric functions, but how do I find the value of each by comparing them to the radius? I also need help with a homework question dealing with this.

Question

anonymous · Answer

haleybop, I think I can explain it. 
Sine is your Y value at any point. Cosine is your X value at any point. Tangent is the ratio of those two, Y/X. So, for instance, at a common point, 
sqrt2/2, that is at exactly 45 degrees. This is the point where Y is equal to X, in other words, Y is exactly .7071.... and X is also .7071.... The tangent here is one, which makes sense because they are equal.

anonymous · Answer

Thank you! That makes things a bit clearer. Could you help me with a homework question that deals with this?

anonymous · Answer

@edollaz

anonymous · Answer

yes, sure

anonymous · Answer

@haleybop96

anonymous · Answer

|dw:1415993490035:dw|
It says: Draw line value segments for the six trigonometric functions for the given angle $$\theta$$ label each function on the diagram; then approximate the value of each by comparing each length to the radius (r=1).

thank you so much for helping me!