Pi, what is sine of pi? Well, we intersect the unitĬircle right over there. So let's think about what's, what, what happens when theta is equal to pi. So what is sine of pi over two? Well sine of pi over two is just the Y coordinate right over here. Here, and what point is that? Well that's the point zero comma one. Intersects, where it intersects the unit circle is right over To be right along the Y axis just like that, and where it So if theta is equal to pi over two, that's the same thingĪs a 90 degree angle. I'm just doing the ones thatĪre really easy to figure out. Now let's try theta isĮqual to pi over two. What is sine of theta gonna be? Well, when the angle is zero we intersect the unitĬircle right over there. And so, over here I have theta, and over here we're going to figure out what sine of theta is, and we could do a bunch of theta values. So let's set up a littleīit of a table here. What sine of theta is, and then graph it. To pick a bunch of thetas and then come up with Independent variable here, and it's gonna be theta is Y is equal to sine of theta,Īnd on the horizontal axis I'm not gonna graph X,īut I'm gonna graph theta. Still Y in the vertical axis, but I'm gonna graph the graph Unit circle, and then those, the Y coordinate of that point is going to be sine of theta. This is X, and this is Y, or you could even do this, as the, well, we can just use X or Y,Īnd so for a given theta we can see where that angleĮntered to the terminal side of the angle intersects the Gonna use that to figure out the values of sine of On the left hand side right over here, and I'm I don't need that space right there, so let me clear that out. Over here I've got a unit circle, and I can, let me Let's actually draw the sine function out,Īnd what I have here, on the left hand side right Sometimes, less bells and whistles are better.What are the domain and range of the sine function? So to think about that, You’ll still need your TI’s to perform calculations, analyze data, or do more in-depth analysis, like intercepts or integrals. The site is also usable with Ipads:īut keep in mind that this is a stripped down calculator. While I love my TI software, it often takes too long to load, and you need to be a real Nspire user to navigate around. This site should be on everyone’s links for students, shared on Edmodo, or whatever resources page you use. What appeals to me about this calculator is that it is web-based, fires up quickly, and is ready to use. Check out how the minimum here is communicated with appropriate symbols: Trig functions are formatted in readable form as you type them, and you can choose to have the x-axis “count by pi”, which is a pretty cool feature: Inequalities can also be graphed easily and nicely: The calculator has an interface which is intuitive, and it’s easy to dive right in and start graphing: I have used Texas Instruments products exclusively and extensively in my classes for years, but am always on the lookout for tools that are easy to use, functional, and (most importantly) cheap! The Desmos calculator aligns quite nicely with my personal motto, “If It’s For Free, Then It’s For me!” Recently, I have been noodling around with the Desmos Online Graphing Calculator.
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