I'm having a lot of trouble with graphing trig functions.

Can anyone tell me how to graph this equation on a graphing calculator?

Sketch the graph of y= sin x in the interval 0 ≤ x ≤4π

I am surprised that you are studying trigonometry and don't know the basic shape of y = sinx

Surely your instructor has taught you how to sketch the basic graphs before jumping to technology methods.

Sure! I can help you with that.

To graph the equation y = sin(x) on a graphing calculator, you need to follow these steps:

Step 1: Turn on your graphing calculator and go to the graphing screen.

Step 2: Adjust the "Window" settings to match the interval you want to graph. In this case, the interval is 0 ≤ x ≤ 4π. You can set the values for the minimum and maximum x-values based on this interval. For example, you can set the minimum x-value to 0 and the maximum x-value to 4π.

Step 3: Choose a suitable scale for the x-axis and y-axis by adjusting the "Xscl" (x-axis scale) and "Yscl" (y-axis scale) settings. This step ensures that the graph is visible and not too compressed.

Step 4: Enter the equation y = sin(x) into the calculator. You can typically do this by pressing the corresponding buttons for the variables and the trigonometric functions, or by using any specific syntax specific to your calculator model.

Step 5: Graph the equation by selecting the "Graph" option on your calculator. The graphing calculator will plot the points for the function y = sin(x) within the specified interval.

Step 6: You should now see the graph of y = sin(x) on your calculator's screen. The graph should show the shape of a sine wave that oscillates between -1 and 1 over the interval 0 to 4π.

That's it! You have successfully graphed the equation y = sin(x) on your graphing calculator. Take note that the specific steps may vary slightly depending on the model and brand of your calculator, but the general process should be similar.