Question

use the small angle approximation to find approximate value for sin 8 degree

Answer 1

One thing to remember while solving small angle approximation(SAA) is that, its valid only for "radians" not for angles.

so according SAA
Sin x = x (x is a radian)

so, here is the simple formula to convert angle into radian
angle×(π/180) = radian
=> 8°×{π/180]= 2π/45

and Sin(2π/45)= 2π/45. (answer)