
The trigonometric function value of
that means angle A lies in IV quadrant.
Using the Pythagorean identity
, obtain


Because cos A > 0 in Quadrant IV, you can use the positive root to obtain
.
.
The trigonometric function value of
that means angle B lies in II quadrant.
Using the Pythagorean identity
, obtain


Because sin B > 0 in Quadrant II, you can use the positive root to obtain
.
.



.
Option H is correct answer.