# 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.

### What is the derivation of the wave function?

A simple wave function can be expressed as a trigonometric function of either sine or cosine. lamba = A sine(a+bt) or lamba = A cosine(a+bt) where lamba = the y value of the wave A= magnitude of the wave a= phase angle b= frequency. the derivative of sine is cosine and the derivative of cosine is -sine so the derivative of a sine wave function would be y'=Ab cosine(a+bt) """"""""""""""""""" cosine wave function would be… Read More

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

cosine and sine both can be used . its just the theoritical analysis . thats it . both sine ans cosine carrier have zero bandwidth. bandwidth means span of signal

### 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 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).

### Why we use sin cos etc in sinusoidal wave?

By its very mane, a sinusoidal wave refers to a sine function. The cosine function is simply the sine function that is phase-shifted.

### How to generate multi component sine wave signal by using matlab program?

Generating Sine and Cosine Signals (Use updated lab)

### 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).

### Why the cos wave is smoother from sine wave?

Neither wave is smoother than the other. However, the two waves are usually evaluated from 0 to 2*pi, and in that case, the cosine wave begins at y=1, and the sine wave begins at 0.

### How do you find the cosine and the sine?

Sine= Opposite/ Hypotenuse Cosine= Adjacent/ Hypotenuse

### 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.

### What is meant by Phase Shifting?

Phase shifting basically means moving the reference from where the wave starts along x axis. For example, sine wave and cosine wave are basically similar, but have different starting points along x axis. Therefore, it's clear that shifting a sine wave by 90 degree towards negative infinity will give cosine wave.

### How does one differentiate between the sine rule and the cosine rule?

The sine rule is a comparison of ratios: (sin A)/a = (sin B)/b = (sin C)/c. The cosine rule looks similar to the theorem of Pythagoras: c2 = a2 + b2 - 2ab cos C.

### How do you differentiate a cosine function That is what is the derivative of the cosine of x with respect to the independent variable x?

The derivative of cosine of x is simply the negative sine of x. In mathematical terms f'(x) = d/dx[cos(x)] = -sin(x)

### Why are sine and cosine functions used to describe periodic?

because sine & cosine functions are periodic.

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

No, they do not.

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

Sine = -0.5 Cosine = -0.866 Tangent = 0.577

### 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.

### 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

### Where to use sine and cosine in physics?

The sine, cosine and tangent are used to find the degrees of a right angle triangle.

### What is the relationship between the tan and cot?

Cotangent is 1 / tangent. Since tangent is sine / cosine, cotangent is cosine / sine.

### What is the derivative of negative cosine?

The derivative of negative cosine is positive sine.

### Do you need a right traingle to use sine cosine and tangent?

Yes, sine, cosine, tangent definitions are based on right triangles

### How are sine and cosine curves similar?

The sine curve is exactly the same as the cosine curve shifted pi/2 radians to the left

### How can you tell if a graph is a sine function or a cosine function?

sine graph will be formed at origine of graph and cosine graph is find on y-axise

### Which angle has a negative sine and a positive cosine?

All the angles in 4th quadrant have positive cosine and negative sine e.g. 280,290,300,310...etc.

### What is the anti derivative of negative sine?

The anti derivative of negative sine is cosine.

### How is trig used in life?

The obvious answer is the relationships between the sides and angles of triangles. Waves in the sea are an example of a sine wave. Tidal Experts and Meterologists alike use sine waves to help predict tides. Music will also emit waves that may often look like a sine wave and pure notes will look like sine or cosine waves. The speed of a swinging pendulum can be plotted as a sine wave as well as… Read More

### How do you know when to use sine over cosine or cosine over sine?

You can choose either or but tangent which is sin/cos seems to be the most common way.

### What is cosine 2 theta when sine theta equals .28?

If sine theta is 0.28, then theta is 16.26 degrees. Cosine 2 theta, then, is 0.8432

### Is 35 degrees cos or sin?

Every angle has a sine and a cosine. The sine of 35 degrees is 0.57358 (rounded) The cosine of 35 degrees is 0.81915 (rounded)

### 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.

### Half range sine and cosine series?

half range cosine series or sine series is noting but it consdering only cosine or sine terms in the genral expansion of fourier series for example half range cosine series f(x)=a1/2+sigma n=0to1 an cosnx where an=2/c *integral under limits f(x)cosnx and sine series is vice versa

### What is cosine squared theta equal to'?

NO!! Cosine squared theta = 1 - Sine squared theta, not plus.

### What is cosine of 3?

Undefined!!!! Can't answer it! All sine and cosine values are between -1 and 1 !!!

### Is it possible to model everyday sounds and speech with trigonometric functions like sine cosine tangent cosecant secant or cotangent?

Yes, but only sine or cosine will suffice.

### What is period as it pertains to the graph of 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).

### Are The sine and cosine of acute angles equal?

The sine and cosine of acute angles are equal only for 45° sin45° = cos 45° = 1/sqrt(2) = 0.7071

### What is even and odd wave function?

A basic wave function is a sine or cosine function whose amplitude may have a value other than 1. The cosine function is an even function because it is symmetrical about the y-axis. That is, f(-x) = f(x) for all x. The sine function is an odd function because it is antisymmetrical about the y-axis. That is, f(-x) = -f(x) for all x.

### Is there a device that converts modified sine wave AC output from a generator to pure sine wave AC?

Well, a pure sine wave can only be produced as a pure sine wave. If it was modified to begin with, it would never be a pure sine wave. However, an actual generator should be supplying pure sine wave output, while something such as an inverter would be producing a modified sine wave.

### How do you find 2 missing sides of a right triangle?

You can use the sine, cosine, or tangent. The sine is if the angle has the opposite or hypotenuse. The Cosine is opposite and hypotenuse and Tangent is adjacent and opposite.

### What are trigometric ratios?

Basically we have two. One is sine and the other is cosine Right from these two we can get tangent Reciprocal of sine is cosecant Reciprocal of cosine is secant Reciprocal of tangent is cotangent