4
Sin(pi/6) = 1/2 is a true statement [not pie].
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
sin (pi/2) = 1
2.5
The amplitude of the wave [ y = -2 sin(x) ] is 2.
y = sin(-x)Amplitude = 1Period = 2 pi
The amplitude is |-2| = 2.
The amplitude of the function [ sin(x) ] is 1 peak and 2 peak-to-peak . The amplitude of 6 times that function is 6 peak and 12 peak-to-peak.
4
1.5
Sin(pi/6) = 1/2 is a true statement [not pie].
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
[sin - cos + 1]/[sin + cos - 1] = [sin + 1]/cosiff [sin - cos + 1]*cos = [sin + 1]*[sin + cos - 1]iff sin*cos - cos^2 + cos = sin^2 + sin*cos - sin + sin + cos - 1iff -cos^2 = sin^2 - 11 = sin^2 + cos^2, which is true,
sin (pi/2) = 1
For a sine wave, the RMS is the amplitude divided by square root of 2. The amplitude is 10 cm. in this case; so the exact value is 10 / root(2), or about 7.For a sine wave, the RMS is the amplitude divided by square root of 2. The amplitude is 10 cm. in this case; so the exact value is 10 / root(2), or about 7.For a sine wave, the RMS is the amplitude divided by square root of 2. The amplitude is 10 cm. in this case; so the exact value is 10 / root(2), or about 7.For a sine wave, the RMS is the amplitude divided by square root of 2. The amplitude is 10 cm. in this case; so the exact value is 10 / root(2), or about 7.
y = -1 + 3 sin 4xLet's look at the equation of y = 3 sin 4x, which is of the form y = A sin Bx, wherethe amplitude = |A|, and the period = (2pi)/B.So that the amplitude of the graph of y = 3 sin 4x is |3| = 3, which tell us that the maximum value of y is 3 and the minimum value is -3, and the period is (2pi)/4 = pi/2, which tell us that each cycle is completed in pi/2 radians.The graph of y = -1 + 3 sin 4x has the same amplitude and period as y = 3 sin 4x, and translates the graph of y = 3 sin 4x one unit down, so that the maximum value of y becomes 2 and the minimum value becomes -4.