How to Memorize the Sine Function

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Memorizing the sine function is a lot easier than you might think it is, especially if you employ a few key tips and tricks. Memorize the sine function with help from a mathematics educator with over a decade of experience in this free video clip.

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Video Transcript

Hi. I'm Jimmy Chang. We're here to talk about how to memorize the sine function. Now, the sine function is a very important part of trigonometry and so there are incentives to really help you memorize it. Now, one approach is to kind of memorize the graph to kind of help you see it visually, how the sine function works. And the typical graph of a sine function is it starts out as zero and it works its way up, then it works its way down and it works and it goes the other way as well. Now, when it comes to the values of sine, it's really important for you to kind of think about it. But this is where the graph can help. Now, to start you off, think about the fact that the sine is zero, because it starts at zero, it's going to give you a zero. Now, because the sine has period of two pi, you know that sine of two pi is also zero. OK? Now, for other common sine values to kind of help you memorize the sine function, think about the pole angles. So, sine of pi over two, pi over two is a pole, is going to equal to one, sine of pi is equal to zero and sine of three pi over two is going to give you negative one. Now, these are some of the most common angles that will help you memorize the sine functions. So, this is a good foundation after you would think about memorizing the graph. Now, there's also a couple of other sine values you want to think about as well because the angles of these are so common you want to use these on a regular basis. And that is, sine of pi over six or 30 degrees, that's going to give you one half. Also, sine of pi over four, which is 45 degrees, squared of two over two and sine of pi over three which is 60 degrees and that's squared of three over two. So, after you've remembered these common sine values, I would recommend going over these as well because these are such common angles and every day angles that you want to work with in trigonometry and beyond that will definitely be in your best interest to memorize these. So, to memorize the sine function, I would recommend looking at the graph first, then these polar angles and then these common angles as well. So, I'm Jimmy Chang and there are some tips on how to memorize the sine function.


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