# 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 the derivative of negative cosine?

The derivative of negative cosine is positive sine.

### Why are cosines positive and negative?

Because the cosine of some angles is positive and the cosine of some other angles is negative.

### Is it possible power factor shown in negative?

Yes, power factor can be negative. That is the case of a generator. Power factor is the cosine of the phase angle between voltage and current, and the cosine can be positive or negative. Answer No. Power factor can be 'leading' or 'lagging', but it cannot be 'negative' or 'positive'.

### 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.

### Why is cosine 16 negative?

First of all, I can't tell what angle you're talking about, because you failed to mention the unit of your angle. -- Cosine of 16 degrees is roughly 0.9613 ... a positive number. -- Cosine of 16 radians is roughly -0.9577 ... a negative number. -- Cosine of 16 grads is roughly 0.9686 ... a positive number. Over any reasonably large range of angles, half of them have positive cosines, and the other half of… Read More

### What is the answer to cosine x equal to negative one?

cosine(x) = -1 x = (270 + 360N) degrees or x = (1.5 + 2N) pi radians N is any integer, positive or negative.

### Why is the tangent positive on quadrant III?

The tangent function is equal to the sine divided by the cosine. In quadrant III, both sin and cos are negative - and a negative divided by another negative is positive. Thus it follows that the tangent is positive in QIII.

### Why cos negative results positive?

It doesn't really. Depending on the exact value of the argument, the cosine function can give both positive and negative results, for a negative argument. As to "why" the sine, or cosine, functions have certain values, just look at the function definition. Take points on a unit circle. The sine represents the y-coordinate for any point on the circle, while the cosine represents the x-coordinate for such a point. (There are also other ways to… Read More

### Why the value of cos positive for negative value of angle?

The cosine of an angle is the adjacent side of the angle of a triangle divided the hypotenuse. If you plot the adjacent side as x on an x -y graph, for negative angles less than 90 degrees the adjacent side is positive and the hypotenuse is always positive, so you get a positive. The cosine is positive int e upper right and lower right quadrants

### What is cos of a negative angle?

The cosine function is an even function which means that cos(-x) = cos(x). So, if cos of an angle is positive, then the cos of the negative of that angle is positive and if cos of an angle is negative, then the cos of the negative of that angle is negaitive.

### Why do cosine to the negative 1th power and cosine cancel out each other?

Cosine to the negative first power and cosine cancel each other out because cosine to the negative first power is one over cosine, and one over anything times anything is just one.

### Does cos x equal cos negative x?

Yes. Cosine is adjacent side over hypothenuse. Adjacent side is the same sign when x is positive or negative.

### Why does cos negative theta equal cos postitive theta?

The cosine is simply the x-coordinate of the unitary circle. It helps to draw the circle, and the sine and cosine (x and y coordinates), to visualize this. The y-coordinate is the same for a positive angle and for the corresponding negative angle.

### 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.

### Why is cosine negative in the third quadrant?

On a Unit Circle, the cosine is the x coordinate of the point on the circle represented by an angle. Angles greater than 90Â° (pi/2 radians) and less than 270Â° (3*pi/2 radians) are to the left of the y-axis, so x is negative. Quadrant I is the upper right quadrant (x positive, y positive) 0Â° < Éµ < 90Â° Quadrant II is the upper left quadrant (x negative, y positive) 90Â° < Éµ < 180Â°… Read More

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

The anti derivative of negative sine is cosine.

### What are the domains of sine cosine and tangent?

The domain of a function is the set of values of the independent variable for which the function is valid. In practice, this is the allowable values of X or, in this case, theta. The sine and cosine functions have a domain of all numbers from negative infinity to positive infinity. The tangent function, however, is sine(theta) / cosine(theta). Cosine(theta) has value of zero at theta equal to pi / 2, 3pi/2, 5pi/2, ... in… Read More

### What is the difference between trigonometry and geometry?

Trigonometry is specificly the study of a right triangle. For example, what is the cosine? Geometry is the study on shapes.

### Is the cosine function an odd function?

No. Cosine, along with sec, is an even function. The odd functions are sin, tan, csc, and cot. The reason for this is because is you take the opposite of the y-value for the cosine function, the overall value of the function is not affected. Take, for example, cos(60 degrees), which equals POSITIVE 1/2. If you flip it over the x-axis, making the y's negative, it becomes cos(-60 degrees), or cos(300 degrees). This equals POSITIVE… Read More

### What is the difference between Fourier transform and Wavelet transform?

wavelet transform is located in space whereas fourier cosine and sine functions are not.:)

### What is the angle between the direction of motion of an object and the direction of the applied force if the work done on the object is said to be negative?

If the angle between force and displacement is between 90 to 270 degree because value of cosine trignometric function is negative within these limits.work=fdcos(angle)

### What is the difference between a sine graph and a cosine graph?

The sine graph and the cosine graph are identical in shape, with the cosine graph shifted to the left by pi / 2, i.e. the sine starts at (x=0,y=0) and proceeds up with an initial slope of one, and the cosine starts at (x=0,y=1), and proceeds down with an initial slope of zero.

### What is cosine of 3?

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

### How do you find amplitude in trigonometry?

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.

### What is the difference between sine signal and cosine signal?

The two signals (waveforms) are the same shape but the cosine signal is phase shifted by 90 degrees (a quarter cycle). If you were to plot the two, the sine signal starts (t=0) at zero amplitude and the cosine starts at the max. amplitude. If you were to observe the two waveforms on an oscilloscope, you wouldn't be able to tell the difference. It's only the initial value that defines the two signals.

### 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)

### What does power factor mean in math?

power factor is the cosine of the angular difference between current and voltage and must be taken into account to get true power (watts)

### What is difference of using sine to cosine and tangent?

They are different trigonometric functions!

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

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

### What is redshifting?

Hubble said "redshifting" "is a hitherto unknown principle of nature." Unfortunately, not too many physicists listen to Hubble. Red shifting is a measure of direction not motion. Redshifting indicates direction away from the center. If the direction is perpendicular to the radial center there is no shift. If toward the center there is blue shift, if away form the center there is redshift. The shift is cos(z) when the cosine is positive there is red… Read More

### Why are positive and negative numbers used on a harmonic motion graph?

Since amplitude can vary, it is inconvenient to set "0" at the maximum swing point. This can move your zero and all successive measurements with just a touch. Additionally, "simple harmonic motion" is easily described by combinations of the sine and cosine functions, and they yield positive and negative values of equal magnitudes. So it is *easier* to set zero at "mid span".

### What is the derivation of Heron's Formula?

The following proof is trigonometric, and basically uses the cosine rule. First we compute the cosine squared in terms of the sides, and then the sine squared which we use in the formula A=1/2bc·sinA to derive the area of the triangle in terms of its sides, and thus prove Heron's formula. We use the relationship x2−y2=(x+y)(x−y) [difference between two squares] [1.2] Finding the cosine squared in terms of the sides From the cosine rule: We… Read More

### How could you tell if tan is negative or positive in a quadrant Example in quadrant II cos - and sin is plus but what is tan?

There's a mnemonic for this: All Students Take Calculus. Starting in the first quadrant, and moving counterclockwise until the last, give each quadrant the first letter of thos words in order. A represents all 3, s represents sine, t represents tangent, and c represents cosine. If the letter appears in a quadrant, it is positive there. If not, it is negative there. In quadrant 2, only sine is positive.

### Why does cosine x equal cosine negative x?

This is going to require some visualization. Cosine is defined as the x-value on the unit circle. If you picture where a point would be, for example, at the angle of pi/6 (30°) you get a coordinate of (√(3)/2 , 1/2) so cosine is √(3)/2 and sine is 1/2 To find a negative angle you take the reflection across the x-axis. Since this does not chance the x-value, only the y, cosine does not change… Read More

### What are the measure of the angles in quadrant 1?

The angles in quadrant one measure between 0 degrees and 90 degrees. In radians, that's between 0 and pi/2. Quadrant one is the quadrant where both X and Y (or cosine theta and sine theta) are positive.

### What is the cosine ratio?

In a specific angle for a right triangle the cosine ratio is the ratio between the lengths of the adjacent side (side touching the angle) and the hypotenuse (longest side).

### What is the cosine of 270 degrees?

it is 0because on the unit circle 270 is the negative y axis (0,1) the x coordinate is the cos value

### What quadrant does -14-13i lie?

It will be in 3rd Quadrant because cosine and sine both are negative in 3rd Quadrant

### 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.

### When the force and displacement are in the opposite direction then the work is?

Work = Force * displacement * Cosine of the angle between Force and displacement.. Here, that angle would be 180 degrees Cos 180 degree = -1 Hence work will be negative Work (W).

### What is cosine of 1?

Cosine of 1 degree is about 0.999848. Cosine of 1 radian is about 0.540302.

### What is the cosine of 0.57?

The cosine of 0.57 degrees is 0.999951. The cosine of 0.57 radians is 0.841901

### 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.