
(4) What is the sign of the expression sin
csc
;
in any quadrant,
given that
n
(where n is an integer)
SOLUTION:
We know that sinand csc
have the same sign. Therefore if they are both positive, then sin
csc
is positive, and if they are both negative, they will cancel each other out to let sin
csc
be positive. Hence sin
csc
is positive everywhere.