To solve this expression, we can use the sine and cosine addition formula:

sin(a) + sin(b) = 2sin((a + b)/2)cos((a - b)/2)

Therefore, the expression becomes:

2sin((50+10)/2)cos((50-10)/2)/cos(20)

= 2sin(60/2)cos(40/2)/cos(20)

= 2sin(30)cos(20)/cos(20)

= 2(√3/2)(√3/2)

= 3/2

Therefore, sin50 + sin10 / cos20 = 3/2.