Question

Find all x-intercepts, minima, and maxima within one period. y=1/2sin((3/4)x)

Answer 1

\[y=\frac{ 1 }{ 2 }\sin (\frac{ 3 }{ 4 }x)\]

Answer 2

The general equation for a sinusoidal function is
\(f(x)=a\ sin(b(x-h))+k\)
where y=k is the sinusoidal axis,
a=1/2,
b=3/4
h=0
k=0
Period = \(2\pi /b = 2\pi /(3/4) = 8\pi/3\)
max/min = \(k\pm |a| =0\pm 1/2=\pm 1/2 \)

Answer 3

how do I find that question mark? @mathmate

Answer 4

Hint:
The standard sine function is:

Hope that helps.