Suppose that cosx= -3/5 and x is in the third quadrant, and that siny= 2/9 and y is in the second quadrant. Find the exact values

1). tan(y/2)

2). cos(x+y)

3). tan(x+y)

1 answer

Draw your triangles in standard position. Then it is clear that

sinx = -4/5
tanx = 4/3

cosy = -√77/9
tany = -2/√77

Now just plug the needed values into the identities you have