How do I find the number of cycles, the amplitude, and period of a trigonometric function?

Question

mertsj · Answer

By looking at the equation of the function.

anonymous · Answer

So, for y=sin50..?

mertsj · Answer

That is a horizontal line.  The sin of 50 is .766 so your equation says y = .766 which is a horizontal line and so it doesn't have cycles, amplitude, or a period.

anonymous · Answer

I feel really stupid right now. That's not a 50, its $$y = 5 \Theta $$

mertsj · Answer

Ok.  Would you please post the problem exactly as it is stated?

anonymous · Answer

Determine the number of cycles each trigonometric function has in the interval from 0 to $$2\pi $$. Find the amplitude and period of each function.

mertsj · Answer

So the key part here is the part that is missing:  WHAT IS THE FUNCTION????????

anonymous · Answer

y= $$5 \theta $$

anonymous · Answer

$$y= -5\sin2\pi \theta $$

anonymous · Answer

and there are a few other equations

mertsj · Answer

The 5 is the amplitude.  It tells you that the graph goes up to 5 and down to -5

mertsj · Answer

The coefficient of theta is 2pi.  Use this formula to find the period:  coefficient of variable = 2pi /period

mertsj · Answer

After you find the period, take its reciprocal and that will be the frequency

anonymous · Answer

Okay. Thanks

mertsj · Answer

yw