The amplitude of a function is half the distance between the maximum and minimum values. This is the absolute value of the number in front of the trig function.
for example,
y=Asin(x) or y= Acos(x)
the absolute value of A is the amplitude.
Therefore, the amplitude of y=-2sinx is 2
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Assuming the question refers to [sin(x)]/2 rather than sin(x/2) the answer is 1.
4
sin(3A) = sin(2A + A) = sin(2A)*cos(A) + cos(2A)*sin(A)= sin(A+A)*cos(A) + cos(A+A)*sin(A) = 2*sin(A)*cos(A)*cos(A) + {cos^2(A) - sin^2(A)}*sin(A) = 2*sin(A)*cos^2(A) + sin(a)*cos^2(A) - sin^3(A) = 3*sin(A)*cos^2(A) - sin^3(A)
amplitude =7. to find the period, set 2x equal to 2∏. then x=∏=period
Shift = +2