find the exact value in degrees: A. y=arcsin(1/2) B. y=arctan(-sqrt3)

We know that sin y = 1/2, so that arcsin (1/2) =
y

y = 30 degrees

We also know
that tan y = -sqrt 3 => arctan (-sqrt 3) = y

The
tangent is negative in the 2nd and the 4th quadrants.

If
the angley is in the 2nd quadrant, the angle y, for arctan (-sqrt 3) = y, is y = 180 -
60 = 120 degrees.

If the angle x is in the 4th quadrant,
then x = 360 - 60 = 300 degrees.

The angle y
for arcsin (1/2) = y is y = 30 degrees and the angle y for arctan (-sqrt 3) = y, are 120
degrees or 300 degrees.