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# In Section 9.2 you'll see the identity $\sin ^{2} x=\frac{1}{2}-\frac{1}{2} \cos 2 x$. Use this identity to graph the function $y=\sin ^{2} x$ for one period.

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##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

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### Video Transcript

so we need to draw the graph off. Why is he called to sine squared off X? And the question says we that sine squared off X can also be written as 1/2 minus one over to co sign off two weeks. So basically, we need to draw the graph. Of course, I'm two X, with an aptitude of 1/2 and a vertical shift off 1/2. So let's ah, start by setting up our access. So we have our basic X and y axes. Secondly, since there's a vertical shift off 1/2 therefore, to start things off with, just draw a horizontal line at why is equal to about half next. We know that the amplitude is 1/2 so we draw a line 1/2 minutes above this, which would be at one and another line at 1/2 minutes below it. So these are the values or while between which are graph would be plotted. So we have said next because it says coastline two X there for the period would be to pie divided by two, which is equal to pi. So here we have pipe or four. Next, I over to next. We have three pi over four and then the F pie. So those are extract use that we would need. Now, this is a negative coasting to X graph. So it's gonna start here at the origin and then go through this point Piper for 1/2 and then go on to if I were to one and then three pi over 4 1/2 and then finally he Hi is you. So that would be the graph that wouldn't draw for this question.

Other Schools
##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University