precalculus math

Question

Solve  for the two smallest positive solutions A and B, with A < B

A =  

 B =  

 Give your answers accurate to at least two decimal places.

Answer 1

First solve for 4x 3sin(4x)=2 sin4x=2/3 now take the arcsin of both sides and you get 4x= 41.81 degrees

There is a second angle in quadrant 2 with the same value as 41.81 which is 180 -41.81= 138.79

So 4x=41.81 x=10.45

and

4x= 138.79 x= 34.54degrees

Answer 2

3 sin (4x) = 2

sin (4x) = 2/3

4x = 0.729727656^r