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.
Period is how long it takes for the sine and cosine functions to restart repeating themselves. Both have a period of 2pi (360 degrees).
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).
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.
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.
amplitude =7. to find the period, set 2x equal to 2∏. then x=∏=period
Period remains the same. A motion is isochronous if its period is always constant and independent of the amplitude.
No. If compared to ocean waves, amplitude would be wave height, and period would be how long to next wave.
Amplitude = 5 Period = pi/4 radians (= 45 degrees).
For very little swings, no, the period is unrelated to the amplitude. For larger swings, however, the period increases slightly due to circular error.
As long as angular amplitude is kept small, the period does not depend on the angular amplitude of the oscillation. It is simply dependent on the weight. It should be noted that to some extent period actually does depend on the angular amplitude and if it gets too large, the effect will become noticeable.
Amplitude is how loud sound is and does not change a sounds pitch. They are independent.
Amplitude, frequency/period and phase.
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.
No, that is impossible. Amplitude has to do with the magnitude of the wave and wavelength has to to with time and period and frequency in a medium
You use line graphs to see how something changes over a period of time , Such as weeks,days,months,or even years . We use line graphs alot!