切线函数的图-概念

我想画出正切函数的图像。我在这里写了一个值表以及单位圆上正切函数的定义。这是单位圆。我想提醒你们的是另一种把tan函数看成终点的斜率的方法哦，为什么呢?因为你在这里画了这个小三角形，三角形的垂直边是y，水平边是x x和y是这些坐标。这条线的斜率是y / x纵移/横移。y / x是op的斜率这有助于我们了解tan的性质。tan是这条直线的斜率。
好吧。我们先画一些点，等下再讲斜率的问题。第一个点是(0,0)在这里。我要用这两个点。/ (4,1)/ 4在0和/ 2之间，所以在这里。我让它等于1。这里是/ (4,1)然后是/ 3，√3。根号3大约等于1.7，所以我要把它画成1.7，/ 3等于从0到/ 2的三分之二。 So this is pi over 3 right there. Okay. If that's 1.5 and that's 2, 1.7 is about here. So there's my point and I draw my curve. It increases very rapidly like that and it actually has a vertical asymptote. It just increases steep more steeply and steeply as x approaches or as theta rather approaches pi over 2. And the reason for that is again it comes back to slope. As this angle gets closer and closer to pi over 2, the slope of this line gets steeper and steeper. It's approaching infinity and that's why the tangent zooms off to infinity.
所以要知道这个图，因为在以后的课上，我们会在两个方向上扩展它因为tan实际上对所有实数都有定义。