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Mathematics 55 Online
OpenStudy (anonymous):

Can anyone please help me? I have to describe the following properties of the graph of the Sin function, f(theta)=sin(theta) and relate the property to the Unit Circle 1.Amplitude 2.Period 3.Domain 4.Range 5.X-Intercepts Something else that would really help is if anyone can tell me how to find the properties stated above in the Unit Circle. For example where can I find the Amplitude in the Unit Circle?

OpenStudy (anonymous):

i don't know why you need unit circle to find those

OpenStudy (anonymous):

you can figure out all stuff by looking at the function

OpenStudy (anonymous):

1. a=1, The sine function will never go above 1 or below -1 2. 2*pi, The sine function will repeat Y values after a full rotation around the circle 3. All Real, you can input any theta value and output a real answer 4. [1,-1] any input will yield and output between these values (inclusive) 5. 0+k*pi, where k is an integer. This works because sine will equal zero at every half rotation from 0. A good way to think about this is to imagine the sine function as the "Y" value on the unit circle. Therefore anytime the Y value is 0, sine will be 0.

OpenStudy (anonymous):

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OpenStudy (anonymous):

Notice that the y value on the unit circle will never go above 1, or below -1, therefore sine won't either.

OpenStudy (anonymous):

thank you :) i get it

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