If this is a homework question, please consider trying to answer it on your own first, otherwise the value of reinforcement of the lesson will be lost on you.
To determine the trigonometry function of sin, with a period of pi, and amplitude of 1, and a vertical shift of +1, start simple and expand.
The period of sin(x) is 2 pi, so to halve that period you need sin(2x).
The amplitude of sin(2x) is 2, so to halve that amplitude you need 1/2 sin(2x).
To shift any function up by 1, simply add 1 to it, so the final answer is 1/2 sin(2x) + 1.
Note: This is very simple when you take it step by step.
y=a sin (bx)
given amplitude a=1
period p=2pi/b then b=2
vertical shift +1
so required function y=1+sin(2x)
360 degrees
x = sin-1 (4/15) ( sin -1 is [SHIFT] [sin] on a calculator ) = 15.5
AnswerLet x and y be any real numbers:log x = yx = log inv (y) = 10^yExample:pH =13.22 = -log [H+]log [H+] = -13.22[H+] = inv log (-13.22) = 10^(-13.22)[H+] = 6.0 x 10-14 MFINDING ANTILOGARITHMS using a calculator (also called Inverse Logarithm)Sometimes we know the logarithm (or ln) of a number and must work backwards to find the number itself. This is called finding the antilogarithm or inverse logarithm of the number. To do this using most simple scientific calculators,enter the number,press the inverse (inv) or shift button, thenpress the log (or ln) button. It might also be labeled the 10x (or ex) button.Example 5: log x = 4.203; so, x = inverse log of 4.203 = 15958.79147..... (too many significant figures)There are three significant figures in the mantissa of the log, so the number has 3 significant figures. The answer to the correct number of significant figures is 1.60 x 104.Example 6: log x = -15.3;so, x = inv log (-15.3) = 5.011872336... x 10-16 = 5 x 10-16 (1 significant figure)Natural logarithms work in the same way:Example 7: ln x = 2.56; so, x = inv ln (2.56) = 12.93581732... = 13 (2 sig. fig.)Application to pH problems:pH = -log (hydrogen ion concentration) = -log [H+] Example 8: What is the concentration of the hydrogen ion concentration in an aqueous solution with pH = 13.22? pH = -log [H+] = 13.22log [H+] = -13.22[H+] = inv log (-13.22)[H+] = 6.0 x 10-14 M (2 sig. fig.)
Y=12sin(x(pi)) amplitude= 12 period = 2 phase shift = none or 0 vertical shift = none or 0
y=2/3cos(1.8b-5.2)+3.9
A vertical shift is the vertical motion of a function on a graph through manipulation of the y-coordinates, while simultaneously leaving the x-coordinates unchanged. A horizontal shift is the opposite of a vertical shift, in that the function is moving horizontally by manipulating the x-coordinates and leaving the y-coordinates unchanged.
None.
Amplitude Shift Keying (ASK) is a digital modulation technique where the amplitude of the carrier signal is varied in response to the digital input data. A high amplitude represents a binary 1, while a low amplitude represents a binary 0. ASK is susceptible to noise and interference but is simple to implement and can achieve high data transmission rates.
One way is to shift it to the left by a quarter of the period.
micxingthe between the phasr and frepaancy shift keying
amplitude shift keying is a form of modulation in digital signal that variation in the amplitude of carrier wave. application of ask: *used mainly for radio frequencies
Amplitude shift keying (ASK) is simple to implement and requires less bandwidth compared to other modulation techniques. It is also less susceptible to noise interference, making it suitable for applications where signal clarity is important. Additionally, ASK is energy efficient as it allows for power conservation by varying amplitude levels.
s shift in production function
360 degrees
Amplitude shift keying changes the height/power of the transmitted signal without altering the frequency. Frequency shift keying changes the frequency of the transmission without altering the height/power of the transmitted signal. Morse code is an example of amplitude keying where the amplitude is 0 or 100%. RTTY teleprinter uses FSK with two frequencies and the codes that represent text characters are sent with patterns of the two frequencies.