more precalc please help

Question

Solve  for the smallest positive solution.

Answer 1

So you see that it is a sum of sinAcosB - cosAsinB = sin(A+B)

So you can equate the given expression as sin(3x+8x) or -sin(8x-3x) The second version finds the small positive x value:

-sin(5x) = -.85 x = .203 rads