Answer:
sin x + cos x = 5/13 + 12/13
Explanation:
Given that tan x = 5/12, what is the value of sin x + cos x?
draw a triangle with opposite leg=3 and hypotenuse=5
tan p = opposite/adjacent = 3/4
similarly, in a 5-12-13 right triangle
sin x + cos x = 5/13 + 12/13