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Despite the treatments you see in many sources, they are NOT, unless you are converting and exponential measurement into a Log. Transposing degrees Celsius to degrees F is often used as an example, but that is a misuse of the term "inverse", which is actually a cancellation of a function. A good example of an inverse function is the Log function X=10Y, the inverse of Y=10X.
A common function transposed to the other variable is a reversal, transpose, or converse. Many object to "converse", since that usually means "if p = q, then q = p"; but that's what a transposed equation is. Teachers will give you a hard time on the converse-inverse issue, since it has infected many textbooks. Go the the Mathematica site, or a good college precalculus book. See related link.
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How is multiplication and division related?
Division by a number is the inverse operation to multiplication by the number (and vice versa).
How many yards in 1 kilometer?
1 kilometer are 1093.6133 yards. Scroll down to related links and look at "Conversions of length (distance) units".
A logarithmic function is the same as an exponential function?
Apex: false A logarithmic function is not the same as an exponential function, but they are closely related. Logarithmic functions are the inverses of their respective exponential functions. For the function y=ln(x), its inverse is x=ey For the function y=log3(x), its inverse is x=3y For the function y=4x, its inverse is x=log4(y) For the function y=ln(x-2), its inverse is x=ey+2 By using the properties of logarithms, especially the fact that a number raised to a logarithm of base itself equals the argument of the logarithm: aloga(b)=b you can see that an exponential function with x as the independent variable of the form y=f(x) can be transformed into a function with y as the independent variable, x=f(y), by making it a logarithmic function. For a generalization: y=ax transforms to x=loga(y) and vice-versa Graphically, the logarithmic function is the corresponding exponential function reflected by the line y = x.
What is the trigonometric function sec?
The function sec(x) is the secant function. It is related to the other functions by the expression 1/cos(x). It is not the inverse cosine or arccosine, it is one over the cosine function. Ex. cos(pi/4)= sqrt(2)/2 therefore secant is sec(pi/4)= 1/sqrt(2)/2 or 2/sqrt(2).
How are arithmetic sequences and linear functions related?
They both are constant and they also have a specific domain of the natural number.
How is integer subtraction related to integer addition?
they are inverse functions
How are exponential and log functions related?
One is the inverse of the other, just like the arc-sine is the inverse of the sine, or division is the inverse of multiplication.
How are addition and subtraction of integers related?
Addition and subtraction are inverse functions.
Is the inverse function of secant is the cosecant function?
No. The inverse of the secant is called the arc-secant. The relation between the secant and the cosecant is similar to the relation between the sine and the cosine - they are somehow related, but they are not inverse functions. The secant is the reciprocal of the cosine (sec x = 1 / cos x). The cosecant is the reciprocal of the sine (cos x = 1 / sin x).
How can you use inverse operations to write related multiplication and division sentences?
Because multiplying is the inverse of dividing
How is multiplication is related by division?
Multiplication is the inverse operation to division.
How are the four basic operations related to one another?
Subtraction is the inverse operation to addition. Multiplication is repeated addition.Division is the inverse of multiplication.
How are 1 and -1 are related?
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What is the decibel rating on delco remy cadillac horns?
As with all noise makers, it depents on the distance of the measurement of the sound pressure level. Scroll down to related links and look at "Sound pressure and the inverse distance law 1/r".
What is hyperbolic functions?
The hyperbolic functions are related to a hyperbola is the same way the the circular functions are related to a circle. So, while the points with coordinates [cos(t), sin(t)] generate the unit circle, their hyperbolic counterparts, [cosh(t) , sinh(t)] generate the right half of the equilateral hyperbola. Other circular functions (tan, sec, cosec and cot) also have their hyperbolic counterparts, as do the inverse functions. An alternative, equivalent pair of definitions is: cosh(x) = (ex + e-x)/2 and sinh(x) = (ex - e-x)/2
How are the inverse matrix and identity matrix related?
If an identity matrix is the answer to a problem under matrix multiplication, then each of the two matrices is an inverse matrix of the other.
How is multiplication and division related?
Division by a number is the inverse operation to multiplication by the number (and vice versa).
