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\n",
                "text/plain": "<Figure size 864x360 with 1 Axes>"
              }
            ],
            "_view_module": "@jupyter-widgets/output",
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  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "F5OHAHVLt6yk"
      },
      "source": [
        "![alt_text](https://upload.wikimedia.org/wikipedia/commons/thumb/8/84/Sine_wave_amplitude.svg/1024px-Sine_wave_amplitude.svg.png 'Properties of a sine wave')\n",
        "\n",
        "# Welcome to the What is a Wave notebook!\n",
        "#### By the end of this notebook, you will be able to...\n",
        "\n",
        "_1. Understand what a sinusoid is and what it looks like._\n",
        "\n",
        "_2. Understand how changing wave amplitude, frequency, phase shift, and vertical shift affects the wave._\n",
        "\n",
        "---\n",
        "\n",
        "Instructions: To run a code block, click on it to __select__ it, and then press __SHIFT__ and __ENTER__. Note that you do __not__ need to understand Python to use this notebook--just run each code cell and observe the plots that follow it.\n",
        "\n",
        "---"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "IzSd7robt6yl"
      },
      "source": [
        "# Let's import some libraries...\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import warnings\n",
        "warnings.filterwarnings('ignore')"
      ],
      "execution_count": 1,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "rntMZzJnt6yo"
      },
      "source": [
        "# Now, let's create a set of t values to use...\n",
        "t_data = np.arange(-10,10,0.01)\n",
        "    # ^ This creates a set of values between -10 and 10, with a step of 0.5\n",
        "\n",
        "# Next, we can create our function for the sine wave:\n",
        "# INPUTS: t -- input data\n",
        "#         A -- amplitude\n",
        "#         f -- frequency\n",
        "#         p -- phase shift\n",
        "#         v -- vertical shift\n",
        "def sine_wave(t,A,f,p,v):\n",
        "    y = A*np.sin(2*np.pi*f*t + p*np.pi/180) + v\n",
        "    return y"
      ],
      "execution_count": 7,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "38FnfNu5t6yr",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 334
        },
        "outputId": "a902809b-2aa1-40a4-f303-940f94a6fb70"
      },
      "source": [
        "# So now that we have defined our sine function, let's use it and plot the results!\n",
        "A = 2\n",
        "f = 1\n",
        "p = 1\n",
        "v = -1\n",
        "sine_data = sine_wave(t_data, A, f, p, v)\n",
        "\n",
        "plt.figure(figsize=(12,5))\n",
        "plt.xlabel(\"Time (t) [s]\")\n",
        "plt.plot(t_data, sine_data)\n",
        "plt.show()"
      ],
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
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\n",
            "text/plain": [
              "<Figure size 864x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "B9P6Px-9t6yu"
      },
      "source": [
        "---\n",
        "\n",
        "## Create an interactive plot of a sine wave\n",
        "Run the cell below to create an interactive plot of a sine wave. Adjust the sliders to observe how changing each value affects the graph. \n",
        "\n",
        "Note that you will input your phase shift in __degrees__, but the equation will convert this to __radians__ for you."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "3Zzu7qskt6yu",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 478,
          "referenced_widgets": [
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            "d666f8bc2203493a901fac6d54cefbd2",
            "615e6a1839d143b8935def57851db948",
            "2ec09ecca7d147e98b2c1489174b5490",
            "b01fb36801aa4af3bb52e82af4b4490f",
            "786c5379a2554c3b86102091fd3d6fe2",
            "f28d31535d474016a47c4288a51d63ce"
          ]
        },
        "outputId": "ce7055c6-586b-43ad-c9aa-a9fcf309b677"
      },
      "source": [
        "# Now, let's make this plot interactive so we can visualize how changing each wave component affects the plot\n",
        "import ipywidgets as widgets\n",
        "from ipywidgets import interactive_output,HBox,VBox,Label,Layout\n",
        "from IPython.display import display\n",
        "%matplotlib inline\n",
        "\n",
        "def update(A,f,p,v):\n",
        "    plt.figure(figsize=(12,5))\n",
        "    plt.plot(t_data,sine_wave(t_data,A,f,p,v))\n",
        "    plt.grid()\n",
        "    plt.xlabel('Time (t) [s]')\n",
        "    plt.title('Plotting a Sine Wave')\n",
        "    plt.show()\n",
        "\n",
        "w_A = widgets.FloatSlider(min=-5.0,max=5.0,step=0.1,value=1.0)\n",
        "w_f = widgets.FloatSlider(min=0.0,max=5.0,step=0.1,value=1.0)\n",
        "w_p = widgets.IntSlider(min=-180,max=180,step=1,value=0)\n",
        "w_v = widgets.FloatSlider(min=-5.0,max=5.0,step=0.1,value=0.0)\n",
        "w_update = widgets.ToggleButton(value=True,description='Continuous update',button_style='info',icon='times')\n",
        "\n",
        "def cont_update(*args):\n",
        "    if w_update.value:\n",
        "        w_update.icon = 'times'\n",
        "        w_px.continuous_update = True; w_py.continuous_update = True\n",
        "        w_pw.continuous_update = True; w_ph.continuous_update = True\n",
        "    else:\n",
        "        w_update.icon = 'repeat'\n",
        "        w_px.continuous_update = False; w_py.continuous_update = False\n",
        "        w_pw.continuous_update = False; w_ph.continuous_update = False\n",
        "w_update.observe(cont_update,'value')\n",
        "\n",
        "between = Layout(justify_content='space-between')\n",
        "ui = HBox([w_update,VBox([Label('Amplitude (A)'),Label('Frequency (f)'),Label('Phase (p)'),Label('Vertical Shift (v)')]),VBox([w_A,w_f,w_p,w_v])])\n",
        "out = interactive_output(update,{'A':w_A,'f':w_f,'p':w_p,'v':w_v})\n",
        "display(ui,out)"
      ],
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "f7c54288b5194caabb398d76bb3ad56d",
              "version_minor": 0,
              "version_major": 2
            },
            "text/plain": [
              "HBox(children=(ToggleButton(value=True, button_style='info', description='Continuous update', icon='times'), V…"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "786c5379a2554c3b86102091fd3d6fe2",
              "version_minor": 0,
              "version_major": 2
            },
            "text/plain": [
              "Output()"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fpsB-pKTt6yw"
      },
      "source": [
        "## Congratulations! You've completed the notebook, and should have a better understanding of how the different parts of a wave affect its plot."
      ]
    }
  ]
}