The domain of the sine function is all real numbers, or (-∞, ∞). Note the curly brackets around this interval, when a domain or range includes positive or negative infinity, it is never inclusive.
Inverse sine is defined for the domain [-1, 1]. Since 833 is way outside this domain, the value is not defined.
The domain of the sine function is [-infinity, +infinity].The range is [-1, +1].The sine function is periodic. It repeats itself every 360 degrees or 2PI radians.
It is infinite, in both directions. But it can be restricted to a smaller interval.
The amplitude of a sine (or cosine) curve is the difference between the maximum and minimum values of the curve, measured over a whole cycle.
Try and show this as well as you can: Think of a wheel, or whatever that is cylinder-shaped. One point on the wheel's base is our aim of attention. If you look at the wheel from the side, and roll it at a constant speed, one point on the wheel makes a sine curve. You could illustrate by adding something that leaves a trail to a cylinder. Like gluing a piece of chalk on a scroll of tape. Then roll the scroll next to a blackboard, and the result should be a sine curve, where the amplitude is the same as the radius of the scroll.
Basically, it IS a curve.
Cosine
The sine curve is exactly the same as the cosine curve shifted pi/2 radians to the left
The angle.
Inverse sine is defined for the domain [-1, 1]. Since 833 is way outside this domain, the value is not defined.
A sine wave is a simple vertical line in the frequency domain because the horizontal axis of the frequency domain is frequency, and there is only one frequency, i.e. no harmonics, in a pure sine wave.
The domain of the sine function is all real numbers.
The domain of the sine function is [-infinity, +infinity].The range is [-1, +1].The sine function is periodic. It repeats itself every 360 degrees or 2PI radians.
In physics, a sine curve is used to represent periodic phenomena such as simple harmonic motion or alternating current. It shows how a quantity varies sinusoidally with time or distance. The amplitude, frequency, and phase of the sine curve provide important information about the behavior of the system being studied.
Sound waves are transmitted through a medium as variations in the pressure of the medium. If the variation is plotted as a function of distance (or time), they will generate a sine curve (the cosine curve is the same as a sine curve with a phase shift). In practise, the sine curve is damped: the amplitude (or height) of the oscillations gradually decrease over time or distance, because of attenuation.
The sine wave is also called a sinusoid is a mathematical curve that describes the smooth repetitive oscillation.
The curve is shifted to the right by c.