Final answer:
The sine of an angle can only range from -1 to 1; thus, there is no angle for which the sine equals 3/2 in real numbers.
Step-by-step explanation:
The question asked is about the angle for which the sin is equal to 3/2. However, this is not possible as the sine of an angle, which represents the ratio of the length of the opposite side to the length of the hypotenuse in a right-angled triangle, ranges from -1 to 1.
Therefore, the sine function cannot have a value of 3/2, which means there is no such angle in real numbers.
If the question implies a search for complex angles that satisfy this condition, then it requires knowledge of complex numbers and is beyond the scope of a traditional trigonometry course typically covered in high school math. The sine function is defined to be between -1 and 1.
Since 3/2 is greater than 1, it is not possible for the sine of an angle to equal 3/2. Therefore, there is no angle that satisfies this condition.