Yes, sin 1 exists.
The sine function, denoted as sin(x), is defined for all real numbers x. This means that you can input any real number into the sine function, and it will return a real number as output. The domain of the sine function is (-∞, ∞).
In this case, "1" is a real number. Therefore, sin(1) is defined and exists. It's important to note that when the argument to the sine function is a plain number like '1', it is generally interpreted as being in radians. So, sin(1) refers to the sine of 1 radian.
The value of sin(1) is approximately 0.84147. The range of the sine function is [-1, 1], meaning that the output of the sine function will always be a real number between -1 and 1, inclusive. Since 0.84147 falls within this range, the value of sin(1) is a valid and real number.