SOLUTION: Hello. Lately, I've been really confused about applying the unit circle to trigonometric functions and I still don't understand how 25pi/6 would equal 1/2 using the unit circle...

Question 854741: Hello. Lately, I've been really confused about applying the unit circle to trigonometric functions and I still don't understand how 25pi/6 would equal 1/2 using the unit circle... However, I do understand that one full rotation around the unit circle is equivalent to 2pi or 6pi/3 if I'm not mistaken. If you could help me that would be greatly appreciated.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I still don't understand how 25pi/6 would equal 1/2 using the unit circle.
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(25/6)pi = (4 + 1/6)pi
4pi is just twice around the circle.
So, (4+ 1/6)pi = (1/6)pi
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Not sure what you mean when you say 25pi/6 = 1/2
It doesn't.
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Maybe you meant sin(25pi/6) = sin(pi/6) = 1/2
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Cheers,
Stan H.
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