a)

b)

g(x)=\sin(x)

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\sin(90°)=1

\sin(180°)=0

\sin(270°)=-1

\sin(360°)=0

f(x) = sin((pi / 180 * x))
b = 1 (slider from 0 to 4, step 0.01)
C1: pi
B1: pi / 2
D1: (1.5 * pi)
E1: (2 * pi)
B3: sin(B1)
C3: sin(C1)
D3: sin(D1)
E3: sin(E1)
B4: sin((b * B1))
C4: sin((b * C1))
D4: sin((b * D1))
E4: sin((b * E1))
A: (90, 1)
Text1: "\sin(" + (LaTeX[b]) + "\cdot x)=1"
A': (90 / b, 1)
h(x) = sin(((b * pi / 180) * x))
gl1: x = 360
g(x) = sin((pi / 180 * x))
chkG = false
h_{1}(x) = sin(((b * pi / 180) * x))
Text2_{3}: "f(x)=\sin(\textcolor{blue}{b}\cdot x) = \sin(\qquad\qquad\qquad\qquad\cdot x)=\sin(\textcolor{blue}{" + (LaTeX[b]) + "}\cdot x)"
B: (180, 0)
C: (270, -1)
D: (360, 0)
B': (180 / b, 0)
C': (270 / b, -1)
D': (360 / b, 0)
Text3: "\sin(" + (LaTeX[b]) + "\cdot x)=0"
Text4: "\sin(" + (LaTeX[b]) + "\cdot x)=-1"
Text5: "\sin(" + (LaTeX[b]) + "\cdot x)=0"