Why does a calculator return an error when trying to find inverse sine of 1.055?

1.055 is outside the domain of the sine function.

Step-by-step explanation:

When we are taking the inverse sine, we are finding an angle that gives a value of 1.055.

The sine function NEVER gives a value greater than 1 or less than -1. The domain of the sine function is between -1 and 1, inclusive.

So wanting to know which angle gives a sine value of 1.055 is futile. Sine can never be greater than 1.

That's why the calculator gives an error, because 1.055 is outside the domain of the sine function.

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