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In trig Which of the following functions has the shortest period in graphing functions?
Please don't type "the following" if you don't provide a list.The tan and cot functions have a shorter period than sine and cosine.
What is the period of y equals sin x?
The period is the length of x over which the equation repeats itself. In this case, y=sin x delivers y=0 at x=0 at a gradient of 1. y next equals 0 when x equals pi, but at this point the gradient is minus 1. y next equals 0 when x equals 2pi, and at this point the gradient is 1 again. Therefore the period of y=sinx is 2pi.
What is period as it pertains to the graph of sine and cosine?
Period is how long it takes for the sine and cosine functions to restart repeating themselves. Both have a period of 2pi (360 degrees).
Which functions has a period?
You can invent any function, to make it periodic. Commonly used functions that are periodic include all the trigonometric functions such as sin and cos (period 2 x pi), tan (period pi). Also, when you work with complex numbers, the exponential function (period 2 x pi x i).
What is the period of y equals sin5x?
The period of y=sin(x) is 2*pi, so sin(x) repeats every 2*pi units. sin(5x) repeats every 2*pi/5 units. In general, the period of y=sin(n*x) is 2*pi/n.
What is the period and amplitude for y equals 7 cos 2x?
amplitude =7. to find the period, set 2x equal to 2∏. then x=∏=period
Does the amplitude affect the period?
No, the amplitude does not affect the period of a waveform. The period is determined by the frequency of the waveform, which is unrelated to its amplitude.
How does the amplitude of a spring affect its period?
The amplitude of a spring does not affect its period. The period of a spring is determined by its mass and spring constant.
What does the period vs amplitude graph reveal about the relationship between the two variables?
The period vs amplitude graph shows that there is no direct relationship between the period and amplitude of a wave. The period and amplitude of a wave are independent of each other, meaning changes in one variable do not necessarily affect the other variable.
Is amplitude same as period?
No, amplitude and period are not the same. Amplitude refers to the maximum displacement of a wave from its equilibrium position. The period, on the other hand, is the time taken for one complete oscillation or cycle of the wave.
What is the amplitude and period of f(t) -5 cos(8t)?
Amplitude = 5 Period = pi/4 radians (= 45 degrees).
Does a period of a pendulum depend on the amplitude?
For very little swings, no, the period is unrelated to the amplitude. For larger swings, however, the period increases slightly due to circular error.
What is the relation between amplitude and period?
There is no direct relation between amplitude and period. The amplitude of a wave refers to the maximum displacement from equilibrium, while the period of a wave is the time it takes for one complete cycle to occur. They are independent properties of a wave.
How does amplitude affect the period?
Amplitude does not affect the period of a wave. The period of a wave is the time it takes for one complete cycle of the wave to occur, and this is determined by the frequency of the wave. Amplitude refers to the maximum displacement of particles in a wave from their equilibrium position.
What is the relationship between the amplitude of a pendulum and its period of oscillation?
The amplitude of a pendulum does not affect its period of oscillation. The period of oscillation is determined by the length of the pendulum and the acceleration due to gravity. The amplitude only affects the maximum angle the pendulum swings from its resting position.
The period of anharmonic vibrations is independent of the amplitude?
Yes, the period doesn't influence or depend on the amplitude of vibrations. Tides and earthquakes have vibrations with long periods and enormous amplitude. The timing crystal in a 'quartz' wristwatch has vibrations with short period and tiny amplitude. The sound playing through a loudspeaker or a set of earbuds can sweep through the full frequency range of human hearing ... changing the period of the vibrations from 0.05 second to 0.00005 second ... while maintaining constant amplitude.
How does the amplitude of a wave affect its period?
The amplitude of a wave does not affect its period. The period of a wave is determined by its frequency, which is the number of complete cycles of the wave that occur in a given time period. The amplitude of a wave, on the other hand, is the maximum displacement of the wave from its equilibrium position. Changing the amplitude of a wave will not change the time it takes for one complete cycle of the wave to occur.
