<|im_start|>system
You are a helpful AI assistant.<|im_end|>
<|im_start|>user
What is the relationship between the sin and cos functions?<|im_end|>
<|im_start|>assistant
They are 90 degrees, or pi/2 in radians, shifted away from each other on the x-axis.<|im_end|>
<|im_start|>user
Can you give me a link to a graph where I can see these 2 functions?<|im_end|>
<|im_start|>assistant
Certainly! Here's a link to a graph on Desmos where you can see the sine and cosine functions: [https://www.desmos.com/calculator/3ufdcqm8cq](https://www.desmos.com/calculator/3ufdcqm8cq) . You can interact with the graph by zooming in or out, panning, and adjusting the function inputs to see how they change.<|im_end|>
<|im_start|>user
ok, please explain the same topic to me like i am 5 years old<|im_end|>
<|im_start|>assistant
Sine and cosine are two functions that are related to each other and are used in mathematics to describe the shape of a right triangle. Imagine you are standing at the corner of a square room and you want to know how far away the opposite corner is. You can use a ruler to measure the distance along one wall and another ruler to measure the distance along the other wall. Then you can use these two measurements to figure out the distance to the opposite corner. Sine and cosine are like rulers that help you measure distances in a right triangle.

Sine is like the ruler that measures the height of the triangle, and cosine is like the ruler that measures the base of the triangle. If you know the angle of the triangle, you can use sine and cosine to figure out the height and base of the triangle. Sine and cosine are related to each other because they both come from the same circle. If you draw a circle with a radius of 1, then the sine of an angle is the y-coordinate of the point where the angle intersects the circle, and the cosine of an angle is the x-coordinate of the same point.

In summary, sine and cosine are two functions that help you measure distances in a right triangle. They are related to each other because they both come from the same circle, and they can be used together to figure out the height and base of a triangle if you know the angle.<|im_end|>