Question

suppose theta is in the interval (90,180 degrees) find the sign of

csc(-theta)


is it positive or negative



= positive???

Answer 1

-theta is in quadrant 3, lower left
In that quadrant the sin is negative so the csc is negative.
for example if theta = 150 deg
then -theta = -150
and csc(-150) = 1/-.5 = -2