inverse cos (-rad2/2)=135 degrees

inverse sin (-rad2/2)=-45 degrees

I don't understand why cos is 135

1 answer

for the cosine = -sqrt 2/2 negative x axis
means quadrant 2 or quadrant 3
It could be either 180 + 45 or 180 - 45
so either 135 or 225
for the sine = -sqrt 2/2
means quadrant 3 or quadrant 4
that is 180 + 45 or 360 - 45
so either 225 or 315

225 satisfies both the sine and the cosine.