Answer:5Π/4
Step-by-step explanation:
arcsin(−√2/2) = -45°
Note that the angle is negative and according to quadrant, sine is negative at the 3rd and 4th quadrant.
In the 3rd quadrant, the equivalent angle is (180+theta) while at the 4th quadrant it is (360-theta.)
Using the 3rd quadrant which will give us the least value,
theta = 180+45
= 225° (note that the minus sign only tells us the quadrant sine falls into, hence we cant use the minus during addition)
therefore theta = 225°
Since 180° = Πrad
225° to rad = 225×Πrad/180
= 5Π/4 rad
