Answer:
-63/16
Step-by-step explanation:
csc x = 5/3
sin x = 3/5
So x is the angle in a 3-4-5 triangle, opposite of the 3.
cos y = 5/13
So y is the angle in a 5-12-13 triangle, opposite of the 12.
tan(x + y) = (tan x + tan y) / (1 − tan x tan y)
tan(x + y) = (3/4 + 12/5) / (1 − (3/4)(12/5))
tan(x + y) = (3/4 + 12/5) / (1 − 9/5)
tan(x + y) = (15 + 48) / (20 − 36)
tan(x + y) = -63/16
