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cos(x) = sin(pi/2-x) = -sin(x-pi/2)

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What is a sine-cosine Encoder?

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.


Why it is named sinusoidal wave or sine wave in ac?

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).


What happens where the phase shift between the sine wave and cosine wave is 180?

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.


Why cosine wave is used as carrier signal in all modulation techniques. why not sine wave?

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.


What is the effect of symmetry on the fourier series?

Symmetry in a function significantly simplifies its Fourier series representation. For even functions, only cosine terms are present, while odd functions contain only sine terms. This reduces the number of coefficients that need to be calculated, leading to a more straightforward analysis of the function's periodic behavior. Additionally, symmetry can enhance convergence properties, allowing for faster and more efficient approximations of the function.

Related Questions

Half range sine and cosine series?

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


If two integers have the same sign what is the sine of their sum?

Sine(A+ B) = Sine(A)*Cosine(B) + Cosine(A)*Sine(B).


How do you find the cosine and the sine?

Sine= Opposite/ Hypotenuse Cosine= Adjacent/ Hypotenuse


What are the Differentiate the sine wave and cosine wave?

The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.


How does the tangent function relate to sine and cosine?

Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.


Why are sine and cosine functions used to describe periodic?

because sine & cosine functions are periodic.


How do you find sine cosine and tangent of 210 degrees?

Sine = -0.5 Cosine = -0.866 Tangent = 0.577


Do the equations sine plus cosine and sine squared plus cosine squared both equal 1?

No, they do not.


How do you find the max and min of sine cosine functions?

The maximum of the sine and cosine functions is +1, and the minimum is -1.


How do you find the hypotenuse with a cosine and or sine?

For a right angle triangle:- hypotenuse = adjacent/cosine or hypotenuse = opposite/sine


What is the difference between negative sine and cosine graphs and positive sine and cosine graphs?

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.


What is cosine squared theta equal to'?

Cosine squared theta = 1 + Sine squared theta