• Mathematics,  Premium

    On Teaching Trigonometry: Graphing Trigonometric Functions (Part 2)

    Note: Thoughts expressed in this article are solely those of the author(s). Any advice given in this article may not work in all situations.     SUMMARY: We talk about how you can show your students to program a computer to graph trigonometric functions. We use the Python programming language as an example.    If you need to see Part 1 of this article, you can access it here. Showing your students how to graph trigonometric functions, using different techniques, can be fun. Besides using softwares, you can show your students how to program a computer to graph trigonometric functions. Programming a computer to graph trigonometric functions Again, we think…

  • Mathematics,  Premium

    On Teaching Trigonometry: Graphing Trigonometric Functions (Part 1)

    Note: Thoughts expressed in this article are solely those of the author(s). Any advice given in this article may not work in all situations.   SUMMARY:  We talk about how to introduce your students to graphing trigonometric functions.    After you’ve explained to your students that the sine and cosine are functions from the real numbers to the real numbers, you may need to mention that the tangent, cotangent, secant, and cosecant are also functions of a real variable but that are undefined for some real numbers. Explain to them the reason for the undefinedness: these last four functions are defined as ratios, where their denominators are variables, which cannot…

  • Mathematics,  Premium

    On Teaching Trigonometry: Trigonometric Functions and the Unit Circle

    Note: Thoughts expressed in this article are solely those of the author(s). Any advice given in this article may not work in all situations.     SUMMARY: We talk about how to introduce your students to the general notion of a trigonometric function defined for any angle, acute or not, and we talk about how to use the unit circle to define trigonometric functions.   After you’ve spent some time practicing with your students and give them some time to work on exercises on their own, you may need to move on to other topics. Now that you’re done working with evaluating trigonometric functions on an acute angle, it’s probably…

  • Basic,  Mathematics,  Premium

    On Teaching Trigonometry: Angles and the Right Triangle

    Note: Thoughts expressed in this article are solely those of the author(s). Any advice given in this article may not work in all situations.     SUMMARY: We talk about how to start introducing your students to the trigonometry of the right triangle and to remind them of the importance of practice.   By now, many of your students may be all excited about trigonometry. You’ve managed to persuade them that it is worth to put the efforts to comprehend the technicalities that you will explain to them. But you will also need to remind them of the importance of prerequisite knowledge. To effectively communicate the technicalities to your students,…

  • Basic,  Mathematics,  Premium

    On Teaching Trigonometry: Introduction

    Note: Thoughts expressed in this article are solely those of the author(s). Any advice given in this article may not work in all situations.     This is the first in a series of articles about ways that one could teach trigonometry: On Teaching Trigonometry: Angles and the Right Triangle On Teaching Trigonometry: Trigonometric Functions and the Unit Circle On Teaching Trigonometry: Graphing Trigonometric Functions (Part 1) On Teaching Trigonometry: Graphing Trigonometric Functions (Part 2)   We will not assume a specific setting in which the teaching will take place. So what we will say may be applicable to classroom settings or other settings. Also, we will not necessarily assume…

  • Technology

    How to Play your Favorite PlayStation 4 Games on your Android 10 Phone

      For related products, scroll to the end. ↓↓↓     The PlayStation 4 is a very popular gaming console among gamers all over the globe. It’s really no surprise that over 97 million units of the PlayStation 4 have been shipped worldwide since its launch. Sony definitely knows how to keep its customers happy, and it has done exactly that once again. Sony launched the latest update to the PlayStation 4, version 7.0.0, and along with that came a series of amazing features, one of them being an updated Remote Play service which allows gamers to play their favorite games on their PC, Mac, Tablet or Phone freeing their…

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    How to Place and Receive Android 10 Phone Calls on your Windows 10 PC

      For related products, scroll to the end. ↓↓↓     If you use a smartphone and a PC, you probably know how difficult it is to work seamlessly between them. Working on a larger screen and then switching to the smaller screen is not seamless at all and requires you to stop what you are doing so that you can continue on the other device. There’s some good news! Microsoft has now solved this problem by allowing users on Windows 10 to place and receive Android phone calls on your Windows PC. You can also send calls directly to voicemail with the click of a button. Many brands that…

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    How to Take Nice Pictures with your iPhone 11 Pro

    The iPhone 11 Pro is in a league of its own. While you may still be getting around its massive size or its unique changes, one specific thing that might have caught your eye is the camera. And why wouldn’t it? The lenses on the back of an iPhone 11 Pro look like a futuristic tech that you would see in Spielberg movies. Oh, and there’s a subtle 80s reference for tech nerds. Movie references aside, though, iPhones are slowly bridging the gap between professional cameras and regular phone cameras. While nothing can quite compete with the power of a professional lens, the iPhone 11 Pro comes very close. So…

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    How to Set Up and Train Siri for your iPhone 11

      This article has affiliate links. For related products, scroll to the end. ↓↓↓     With the release of iOS 11, iPhone users now have the freedom to switch back and forth to type or talk to Siri. However, the idea of talking to Siri is more enticing than ever. Whether you do not want to disturb the quiet atmosphere of a coffee shop or movie theater, Siri can be your savior in disguise. If you don’t have an iPhone 11, you can have one by clicking here. Enabling the Feature in your iPhone 11 Once you head over to the Settings app from the main menu or home screen…

  • Technology

    How to Schedule your Tweets with Twitter’s TweetDeck in 2019

      For related products, scroll to the end. ↓↓↓     If you are reading this, you probably have heard about Twitter or you even are a Twitter user. Tweeting on Twitter can be fun: you can make yourself heard in creative ways, and you can do that how often you feel like it. One problem that may arise when tweeting is when you cannot tweet at exactly the time you want the world to see your tweets. Maybe you are at school, at the doctor’s office, at work, or in bed. If you have ever asked if there is any way you could schedule your tweets at exactly the…