Sinusoid shape of the sine and cosine functions appear as oscillations. If an object is moving in a straight line and its position (function of time) can be described as sinusoid then it is referred to as a simple harmonic motion.
Simple harmonic motion (SHM( is defined by the second order differential equation: d2y/dt2 = -ky where y is a fubction of time, t and is the displacement (relative to the central position), and k is a positive constant. The equation says is that at any given position of the object undergoing SHM, its acceleration is proportional to its displacement from, and directed towards the central position. The sine and cosine functions are solutions to the differential equation.
sine, cosine, tangent, cosecant, secant and cotangent.
Sine, Cosine, Tangent, Cotangent, secant and cosecant
The basic circular functions are sine, cosine and tangent. Then there are their reciprocals and inverses.
sine, cosine, tangent, cosecant, secant and cotangent.
because sine & cosine functions are periodic.
The maximum of the sine and cosine functions is +1, and the minimum is -1.
Many oscillations are simple harmonic motions and such motion can be represented by a sine (or equivalently, cosine) curve.
Simple harmonic motion (SHM( is defined by the second order differential equation: d2y/dt2 = -ky where y is a fubction of time, t and is the displacement (relative to the central position), and k is a positive constant. The equation says is that at any given position of the object undergoing SHM, its acceleration is proportional to its displacement from, and directed towards the central position. The sine and cosine functions are solutions to the differential equation.
It's called a sine wave because the waveform can be reproduced as a graph of the sine or cosine functions sin(x) or cos (x).
sine, cosine, tangent, cosecant, secant and cotangent.
Sine, Cosine, Tangent, Cotangent, secant and cosecant
They are different trigonometric functions!
The basic functions of trigonometry are: sine cosine tangent secant cosecant cotangent
Yes, but only sine or cosine will suffice.
Period is how long it takes for the sine and cosine functions to restart repeating themselves. Both have a period of 2pi (360 degrees).
Sine Cosine Tangent ArcSine ArcCosine ArcTangent