Subjects MATHEMATICS

Plot Sin Cos

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Plot Sin Cos


1. **Problem Statement:** Plot the functions $y_1(x) = \sin(x)$ and $y_2(x) = \cos(x)$ on the same graph for $x$ ranging from $-2\pi$ to $2\pi$ with increments of $0.1$. 2. **Setting up MATLAB Plot:** - Define the domain: $x = -2\pi : 0.1 : 2\pi$ - Compute function values: $y_1 = \sin(x)$ and $y_2 = \cos(x)$. 3. **Plotting Curves:** - Plot $y_1$ with a dashed line style. - Plot $y_2$ with a continuous line style. 4. **Graph Customization:** - Label x-axis as "x-axis". - Label y-axis as "y-axis". - Set title to "Plot of sin(x) and cos(x)". - Add legend showing $y_1(x) = \sin(x)$ and $y_2(x) = \cos(x)$. - Set x-axis limits to $[-2\pi, 2\pi]$. - Set y-axis limits to $[-3, 3]$. 5. **Explanation:** - Sine and cosine functions oscillate between -1 and 1. - Despite their natural range, we expand y-axis limits to $[-3,3]$ as specified. - The dashed line differentiates $y_1$ from the continuous line of $y_2$. - Legend and axis labels help interpret the graph clearly.