trigonometric equations

Question

Solve  for the two smallest positive solutions A and B, with A < BA =   B =   Give your answers accurate to at least two decimal places.

Answer 1

6 * sin( 3x ) = 3

sin( 3x ) = 1/2 = 0.5

sin^-1( 0.5 ) = π/6, 5π/6

3x = π/6, 5π/6

x = π/18, 5π/18

x ≈ 0.17, 0.87

If there was a different solution path to be taken, let me know but those are the 2 smallest answers that solve the equation because the otherwise infinite solutions are larger by these answers by integer multiples of 2π. And if there are any questions about this problem in general, please, message me in the comments of this problem.

I hope this helps!