Yes, sin 10 exists. The sine function, sin(x), is defined for all real numbers x.
Explanation
The sine function takes an angle (expressed in radians or degrees) as input and returns a value between -1 and 1. Since 10 is a real number, we can input it into the sine function. Therefore, sin(10) exists and represents the sine of an angle of 10 radians. The reference text incorrectly states that no, it cannot be, based on the assumption that sin(x) cannot exceed 1, which is a correct statement about the range of sine, but completely irrelevant to the domain (the input). The input can be any real number.
Value
The value of sin(10) can be approximated using a calculator. sin(10) ≈ -0.544.
Conclusion
In conclusion, sin(10) exists and is a real number approximately equal to -0.544.
