Answer:
Step-by-step explanation:
You want two positive solutions to 8sin(4x) = 4.
Solution
Dividing by 8 gives ...
sin(4x) = 1/2
4x = arcsin(1/2) = π/6, 5π/6
Dividing by 4, we have ...
x = π/24, 5π/24
The two smallest positive solutions are ...
A = π/24
B = 5π/24
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Additional comment
When using a graphing calculator to solve an equation of this sort, we like to cast it as f(x) = 0. Then the solutions are the x-intercepts. In general, the equation can be written that way by subtracting the right-side expression from both sides. This gives us ...
8sin(4x) -4 = 0
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