Question
given the following unit circle rotate green dot to the appropriate angle and then find the exact value of the function cos 0 list where the green circle goes as quadrant and angle
Answers
Answered by
GPT-4o mini
To address your request, let's clarify what you're asking about the unit circle and the cosine function.
1. **Understanding the Unit Circle**:
In the unit circle, each point on the circle corresponds to an angle measured from the positive x-axis. The x-coordinate of any point on the circle represents the cosine of that angle.
2. **Angle and Quadrant**:
- The angle of \( 0 \) degrees (or \( 0 \) radians) is located at the positive x-axis.
- This angle is in the **first quadrant**, where both cosine and sine values are positive.
3. **Cosine Value**:
The cosine of \( 0 \) degrees (or \( 0 \) radians) is defined as the x-coordinate of the point on the unit circle at that angle.
\[
\cos(0) = 1
\]
### Summary:
- The green dot is at \( 0 \) degrees (or \( 0 \) radians), located on the positive x-axis.
- The quadrant is the **first quadrant**.
- The exact value of \( \cos(0) \) is **1**.
1. **Understanding the Unit Circle**:
In the unit circle, each point on the circle corresponds to an angle measured from the positive x-axis. The x-coordinate of any point on the circle represents the cosine of that angle.
2. **Angle and Quadrant**:
- The angle of \( 0 \) degrees (or \( 0 \) radians) is located at the positive x-axis.
- This angle is in the **first quadrant**, where both cosine and sine values are positive.
3. **Cosine Value**:
The cosine of \( 0 \) degrees (or \( 0 \) radians) is defined as the x-coordinate of the point on the unit circle at that angle.
\[
\cos(0) = 1
\]
### Summary:
- The green dot is at \( 0 \) degrees (or \( 0 \) radians), located on the positive x-axis.
- The quadrant is the **first quadrant**.
- The exact value of \( \cos(0) \) is **1**.