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How do you graph #sin(x/2)#?

Answer 1

It is easy to graph y= #sin(x/2)#. The graph would be similar to the graph of sin x, the only difference being that its period would be #4pi#, instead of #2pi#. Amplitude would remain 1.

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Answer 2

Charles Autterson

To graph ( \sin(\frac{x}{2}) ), you can follow these steps:

Identify key points: The graph of ( \sin(\frac{x}{2}) ) will have the same shape as the sine function but compressed horizontally by a factor of 2.
Plot key points: Plot key points by selecting values of ( x ) that are multiples of ( \pi ) or ( \frac{\pi}{2} ), which are critical points for the sine function.
Connect the points: Use smooth curves to connect the plotted points to form the graph of ( \sin(\frac{x}{2}) ).

Keep in mind that the period of ( \sin(\frac{x}{2}) ) is ( 4\pi ) instead of ( 2\pi ) for the regular sine function, and it will have twice as many cycles within one period compared to the regular sine function.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.