what are the points on cos(x) graph in between 0 and 2$$ \pi $$

The cosine function, $ \cos(x) $, is periodic with a period of $ 2\pi $ and it oscillates between -1 and 1. Here are some key points on the graph of $ \cos(x) $ between $ 0 $ and $ 2\pi $:

1. **$ x = 0 $**: $ \cos(0) = 1 $.
2. **$ x = \frac{\pi}{2} $**: $ \cos\left(\frac{\pi}{2}\right) = 0 $.
3. **$ x = \pi $**: $ \cos(\pi) = -1 $.
4. **$ x = \frac{3\pi}{2} $**: $ \cos\left(\frac{3\pi}{2}\right) = 0 $.
5. **$ x = 2\pi $**: $ \cos(2\pi) = 1 $.

These points are critical values where the function changes its direction or reaches its maximum/minimum values.

### Relative Questions:
1. What is the period of the $ \cos(x) $ function?
2. How do you find the amplitude of $ \cos(x) $?
3. What is the general formula for the maximum and minimum values of $ \cos(x) $?
4. How does the graph of $ \cos(x) $ compare to $ \sin(x) $?
5. What are the intercepts of the $ \cos(x) $ graph?

**Tip:** Remember, the $ \cos(x) $ function is an even function, meaning $ \cos(-x) = \cos(x) $, which reflects its symmetry about the y-axis.

what are the points on cos(x) graph in between 0 and 2π

Explore the critical points of the cosine function, cos(x), between 0 and 2π. Understand how the function oscillates between -1 and 1 and the significance of points such as cos(0), cos(π), and cos(2π). Learn the key concepts of periodic functions and trigonometric graphing. Ideal for students in Grades 9-11.

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