iv) Plot the curve of tan(2*x) in MATLAB given x = -2*pi: 0.01: 2*pi. Attach code and output screenshot.

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**Task: Plotting the Curve of `tan(2*x)` in MATLAB**

Objective: Plot the curve of the function `tan(2*x)` using MATLAB. The range for `x` is defined from `-2*pi` to `2*pi` with an increment of `0.01`. Additionally, include the MATLAB code used and a screenshot of the resulting plot.

Instructions:

1. **Define the Range for `x`:**
   - Use the MATLAB syntax `x = -2*pi:0.01:2*pi;` to create a vector `x` that starts at `-2*pi`, ends at `2*pi`, and increments by `0.01`.

2. **Calculate the Function `tan(2*x)`:**
   - Compute the tangent function for each value of `x` using `y = tan(2*x);`.

3. **Plot the Function:**
   - Use the `plot` function to display the curve: `plot(x, y);`.

4. **Add Graph Details:**
   - Title: `'Plot of tan(2*x)'`
   - X-axis Label: `'x'`
   - Y-axis Label: `'tan(2*x)'`
   - Use `grid on` to enhance visibility of grid lines.

5. **Expected Outcome:**
   - The plot will display a periodic function with vertical asymptotes at specific intervals where the tangent function is undefined.

Please use the following MATLAB code for implementation:

```matlab
x = -2*pi:0.01:2*pi;
y = tan(2*x);
plot(x, y);
title('Plot of tan(2*x)');
xlabel('x');
ylabel('tan(2*x)');
grid on;
```

*Note*: Ensure to generate and save a screenshot of the plot after executing the code in MATLAB for reference.
Transcribed Image Text:**Task: Plotting the Curve of `tan(2*x)` in MATLAB** Objective: Plot the curve of the function `tan(2*x)` using MATLAB. The range for `x` is defined from `-2*pi` to `2*pi` with an increment of `0.01`. Additionally, include the MATLAB code used and a screenshot of the resulting plot. Instructions: 1. **Define the Range for `x`:** - Use the MATLAB syntax `x = -2*pi:0.01:2*pi;` to create a vector `x` that starts at `-2*pi`, ends at `2*pi`, and increments by `0.01`. 2. **Calculate the Function `tan(2*x)`:** - Compute the tangent function for each value of `x` using `y = tan(2*x);`. 3. **Plot the Function:** - Use the `plot` function to display the curve: `plot(x, y);`. 4. **Add Graph Details:** - Title: `'Plot of tan(2*x)'` - X-axis Label: `'x'` - Y-axis Label: `'tan(2*x)'` - Use `grid on` to enhance visibility of grid lines. 5. **Expected Outcome:** - The plot will display a periodic function with vertical asymptotes at specific intervals where the tangent function is undefined. Please use the following MATLAB code for implementation: ```matlab x = -2*pi:0.01:2*pi; y = tan(2*x); plot(x, y); title('Plot of tan(2*x)'); xlabel('x'); ylabel('tan(2*x)'); grid on; ``` *Note*: Ensure to generate and save a screenshot of the plot after executing the code in MATLAB for reference.
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