PLEASE HELP ASAP If tantheta=-4/3 in quadrant 2 what is costheta?
A.-4/5
B.3/5
C.4/5
D.-3/5

Answer:
D
Step-by-step explanation:
In Quadrant 2, cosine will be negative so we can eliminate options B and C. If tan theta = -4/3 we know the opposite side to theta is 4 and the adjacent side to theta is 3. Using Pythagorean Theorem, the hypotenuse is 5 which means cos theta = adjacent / hypotenuse = -3/5.