What does sin in math mean?

sin is the abbreviation for sine, the trig ratio for a given angle of the opposite side over the hypotenuse of a right-angled triangle, (not much of an abbreviation, only one letter is dropped)

There are 3 primary ratios, and 3 reciprocal ratios
sin for sine, csc for cosecant
cos for cosine, sec for secant
tan for tangent, cot for cotangent

Thanks!!

In mathematics, "sin" refers to the trigonometric function called the sine function. The sine function relates the angle of a right triangle to the ratio of the length of the side opposite to that angle, divided by the length of the hypotenuse (the longest side of the triangle).

To understand how to find the sine of an angle, you can follow these steps:

1. Start with a right triangle that has one angle labeled as the one you want to find the sine of.
2. Identify the side opposite to that angle. This is the side directly across from the angle.
3. Measure the length of the side opposite to the angle.
4. Measure the length of the hypotenuse of the triangle.
5. Divide the length of the side opposite to the angle by the length of the hypotenuse.
6. The resulting ratio is the sine of the angle.

The sine function is commonly denoted by the abbreviation "sin" followed by the angle in parentheses, such as sin(θ) or sin(x), where θ or x represents the angle.

Please note that in mathematics, angles are usually measured in radians rather than degrees. So, if you are using degrees, you may need to convert them to radians before finding the sine.