Write down the MATLAB equivalent for the following mathematical expr
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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MATLAB CODE!!!! NEEDED FOR HOMEWORK PRACTICE
![**MATLAB Equivalent for a Mathematical Expression**
The task is to convert the following mathematical expression into its MATLAB equivalent:
\[
\left(\tan(64^\circ \cdot \cos(15^\circ))\right)^2 + \frac{\sin^2(37^\circ)}{\cos^2(20^\circ)}
\]
### MATLAB Code Explanation:
1. **Degrees to Radians Conversion**: MATLAB trigonometric functions (`tan`, `cos`, `sin`) use radians. Convert degrees to radians using the `deg2rad` function.
2. **Expression Construction**:
- Calculate `cos(15)` and multiply by `64` within `tan`.
- Use element-wise operations for squares (`.^2`).
3. **Final Code**:
```matlab
% Define the angles in degrees
angle1 = 64;
angle2 = 15;
angle3 = 37;
angle4 = 20;
% Convert angles to radians
rad1 = deg2rad(angle1);
rad2 = deg2rad(angle2);
rad3 = deg2rad(angle3);
rad4 = deg2rad(angle4);
% Calculate the expression
result = (tan(rad1 * cos(rad2))).^2 + (sin(rad3).^2) / (cos(rad4).^2);
```
This code segment performs the necessary calculations and stores the result in the variable `result`.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96185938-e49e-448a-911c-2f59949ef5b7%2F9df6e48c-1874-45f8-be20-7a01f2905039%2Fb4wktf_processed.png&w=3840&q=75)
Transcribed Image Text:**MATLAB Equivalent for a Mathematical Expression**
The task is to convert the following mathematical expression into its MATLAB equivalent:
\[
\left(\tan(64^\circ \cdot \cos(15^\circ))\right)^2 + \frac{\sin^2(37^\circ)}{\cos^2(20^\circ)}
\]
### MATLAB Code Explanation:
1. **Degrees to Radians Conversion**: MATLAB trigonometric functions (`tan`, `cos`, `sin`) use radians. Convert degrees to radians using the `deg2rad` function.
2. **Expression Construction**:
- Calculate `cos(15)` and multiply by `64` within `tan`.
- Use element-wise operations for squares (`.^2`).
3. **Final Code**:
```matlab
% Define the angles in degrees
angle1 = 64;
angle2 = 15;
angle3 = 37;
angle4 = 20;
% Convert angles to radians
rad1 = deg2rad(angle1);
rad2 = deg2rad(angle2);
rad3 = deg2rad(angle3);
rad4 = deg2rad(angle4);
% Calculate the expression
result = (tan(rad1 * cos(rad2))).^2 + (sin(rad3).^2) / (cos(rad4).^2);
```
This code segment performs the necessary calculations and stores the result in the variable `result`.
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