cos(x) = sin(pi/2-x) = -sin(x-pi/2)
A Sine-Cosine Encoder is a position transducer using only two sensors, each 90 degrees out of phase with respect to each other, driving an up/down counter through appropriate logic. Since sine and cosine are 90 degrees out of phase with repect to each other, this technique is called sine-cosine encoding. The computer mouse is an example of this technique.
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).
This question makes no sense as the specified condition cannot occur. The phase shift between a sine wave and a cosine wave is always 90 degrees, by definition.
The sinusoidal wave is harmonically pure, i.e. it only has one frequency in the frequency domain. If it were not harmonically pure, i.e. if it were not sinusoidal, it would be more difficult, if not impossible, to demodulate it at the receiver.
To calculate a waveform, you typically need to define its parameters, such as amplitude, frequency, and phase. You can use mathematical functions like sine or cosine to represent the waveform; for example, a simple sine wave can be expressed as ( y(t) = A \sin(2\pi f t + \phi) ), where ( A ) is the amplitude, ( f ) is the frequency, ( t ) is time, and ( \phi ) is the phase shift. For more complex waveforms, you may need to combine multiple sine or cosine functions using techniques like Fourier series. Finally, you can visualize the waveform using tools like oscilloscopes or graphing software.
half range cosine series or sine series is noting but it consderingonly cosine or sine terms in the genralexpansion of fourierseriesfor examplehalf range cosine seriesf(x)=a1/2+sigma n=0to1 an cosnxwhere an=2/c *integral under limits f(x)cosnxand sine series is vice versa
Sine(A+ B) = Sine(A)*Cosine(B) + Cosine(A)*Sine(B).
Sine= Opposite/ Hypotenuse Cosine= Adjacent/ Hypotenuse
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
because sine & cosine functions are periodic.
Sine = -0.5 Cosine = -0.866 Tangent = 0.577
No, they do not.
The maximum of the sine and cosine functions is +1, and the minimum is -1.
For a right angle triangle:- hypotenuse = adjacent/cosine or hypotenuse = opposite/sine
The negative sine graph and the positive sine graph have opposite signs: when one is negative, the other is positive - by exactly the same amount. The sine function is said to be an odd function. The two graphs for cosine are the same. The cosine function is said to be even.
The tangent function can be expressed in terms of sine and cosine as (\tan(x) = \frac{\sin(x)}{\cos(x)}). This relationship highlights that tangent is the ratio of the sine function to the cosine function for a given angle (x). Additionally, the Pythagorean identity states that (\sin^2(x) + \cos^2(x) = 1), which is fundamental in trigonometry.