Use a calculator to find sin ^-1 (0.3536) in radians and degrees

Question

sin^-1(-0.3536) round the answer to 4 decimal places as needed.

Answer 1

This is something you just plug in your calculator. "sin^-1" is usually "second function" "sin" button. If your calculator is in degree mode, the answer it gives you will be in degrees. If it is in radian mode, the answer it gives you will be in radians.

With my calculator in degree mode, when I type in sin^-1(0.3536), I get 20.708°.

With my calculator in radian mode, when I type in sin^-1(0.3536), I get 0.3614 radians

To go between degrees and radians, use the conversion factor that 180° is π radians like this:

or this:

Answer 2

20.71 degrees =

.3615 radians

but you have negative .3536 which means the angle is in the 4th or 3rd quadrant.. Negative sines are only in the 3rd or 4th quadrants. You have negative .3536 in the last part of your question, but not in the first part.

add 2 pi to -3615 radians or add 180 to 20.72 = 200.72 degrees into the 3rd quadrant

or subtract .3615 from 2 pi radians to get into the 4th quadrant

Answer 3

Radians: 0.3614

Degrees: 20.7077