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Round and Round a Circle

Can you explain what is happening and account for the values being displayed?

Sine and Cosine for Connected Angles

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2
First check that you can find the size of every angle in the diagram.
Next use your knowledge of Sine or Cosine to find calculations for as many lengths as possible.

Remember this is a unit circle, the length $AO$ for example is $1$.