What happens when you try to elevate sin-1(3/2)?
To understand what happens when you try to evaluate sin^(-1)(3/2), let's break it down step by step.
The expression sin^(-1)(3/2) represents the inverse sine function. The inverse sine function, also known as arcsine or sin^(-1), gives you the angle whose sine value is a given number.
However, there is an important restriction on the range of the inverse sine function. The sine function has a range between -1 and 1, so the inverse sine function can only output angles between -π/2 and π/2 (or -90° and 90°) inclusively.
Now, in the expression sin^(-1)(3/2), the value 3/2 is outside the range of the sine function. Since the sine function only goes up to 1, it is impossible to find an angle whose sine value is 3/2. Therefore, the expression sin^(-1)(3/2) is considered undefined or "not a real number."
In summary, when you try to evaluate sin^(-1)(3/2), you will find that it is not possible to find an angle whose sine value is 3/2, as it is outside the range of the sine function.