Simplifying sin(α+45): A Challenge!

Thread starter fawk3s
Start date May 26, 2010
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Challenge Simplifying

In summary, to simplify sin(α+45) means to find a simpler expression for the trigonometric function using identities, properties, and rules. The purpose of this challenge is to test understanding and develop problem-solving skills. To approach simplifying sin(α+45), one can use the sum or difference formula for sine and manipulate the expression with other identities and properties. It cannot be simplified to a single number due to the presence of a variable. Being able to simplify sin(α+45) is important for solving complex trigonometry problems and understanding the relationship between trigonometric functions.

May 26, 2010

fawk3s

Homework Statement

sin(α+45) = ?

The Attempt at a Solution

Dunno. Really dont.
Need it in simplification.

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May 26, 2010

fawk3s

Never mind. I just got it.
This can be deleted. Thanks.

Related to Simplifying sin(α+45): A Challenge!

1. What does it mean to simplify sin(α+45)?

Simplifying sin(α+45) means to find a simpler expression for the trigonometric function sin(α+45). This can involve using trigonometric identities, properties, and rules to simplify the expression and make it easier to work with.

2. What is the purpose of the challenge to simplify sin(α+45)?

The challenge to simplify sin(α+45) is a way to test your understanding of trigonometric identities and properties. It also helps to develop problem-solving skills and critical thinking in the context of trigonometry.

3. How do I approach simplifying sin(α+45)?

To simplify sin(α+45), you can start by using the sum or difference formula for sine, which states that sin(A±B) = sin(A)cos(B) ± cos(A)sin(B). From there, you can manipulate the expression using other trigonometric identities and properties.

4. Can sin(α+45) be simplified to a single number?

No, sin(α+45) cannot be simplified to a single number. The expression involves a variable (α), so the simplified form will also contain that variable.

5. Why is it important to be able to simplify sin(α+45)?

Simplifying sin(α+45) is important because it allows us to solve more complex trigonometry problems. It also helps us to understand the relationship between trigonometric functions and how they can be manipulated to simplify expressions.