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Unit 3A: Fundamental Trigonometric Identities Essential Question: How do you rewrite trigonometric expressions in order to simplify and evaluate trigonometric functions? We will be able to answer

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1. First, identify the purpose of the function and the specific task it needs to accomplish.
2. Determine the inputs and outputs of the function. This includes understanding the type of data the function will receive as input, and what it should return as output.
3. Write the function declaration, including the function name, input parameters, and return type (if applicable).
4. Begin writing the body of the function, which includes the code that will be executed when the function is called.
5. Implement the necessary logic and algorithms within the function to achieve the desired functionality.
6. Test the function by providing different inputs and verifying that it returns the expected results.
7. Debug any errors or issues that arise during the testing process.
8. Once the function is complete and fully tested, it can be integrated into the larger program or codebase.

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1. Programmers and developers who are building software applications typically need to use functions to organize and structure their code. Functions help break down complex tasks into smaller, more manageable chunks of code.
2. Functions are especially useful when multiple parts of a program need to perform a specific task repeatedly. By defining a function, it can be called multiple times throughout the code, saving time and effort.
3. Functions are also valuable for creating reusable code. Once a function is written and tested, it can be used again in different parts of the program or even in other projects, reducing the need for duplicate code and increasing efficiency.
4. Beginners learning programming can benefit from understanding and practicing with functions. Functions help teach important programming concepts such as modularity, code organization, and problem-solving skills.
5. Functions are also used in mathematical and scientific fields, where complex calculations and algorithms need to be implemented. Functions provide a way to encapsulate these calculations, making them easier to understand and use.

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