Question

given f(x) = 3sin(2x) and g(x) = 3/2. evaluate algebraically the points where the 2 functions intercept domain of [0.2pi],

Answer 1

does this really mean solve \[3\sin(2x)=\frac{3}{2}\]

Answer 2

if so, then
\[\sin(2x)=\frac{1}{2}\] which is easy enough to solve for \(2x\) then divide by 2 to get \(x\)

Answer 3

that is what I did, is that correct?

Answer 4

did you get \(2x=\frac{\pi}{6}\)?

Answer 5

also
\[2x=\frac{5\pi}{6}\]

Answer 6

yes :)
my next two I got 13pi/12 and 17pi/12

Answer 7

looks reasonable

Answer 8

cool, thank you :)

Answer 9

yw