Question

Use a calculator to approximate the value. Round your answer to two decimal places. $$ \arcsin (-0.39) $$

Short answer

The exact answer depends on the mode you're using on your calculator (degrees or radians), but the end result should be a negative real number, rounded to two decimal places.

Step-by-step solution

Set Your Calculator to the Correct Mode

Before starting the calculation, make sure your calculator is set to the correct mode. This will be either degrees or radians. If the problem does not specify, you can choose either mode but be aware of the implications. Degrees mode will return an angle in degrees, while radians mode will return an angle in radians.

Perform the Arcsine Calculation

Simply enter \(\arcsin (-0.39)\) into the calculator and compute the result.

Round the Result

Take the result from step two and round it to two decimal places. Remember that when rounding, if the digit at the third decimal place is 5 or higher, round up the second decimal place. If it's less than 5, leave the second decimal place as it is.