Calculating the exact value of an inverse

Thread starter trap
Start date Feb 20, 2005
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Inverse Value

In summary, an inverse is the opposite or reverse of a given value or operation. It is necessary to calculate the exact value of an inverse in order to accurately solve equations and real-life problems. The exact value of an inverse can be found by using the reciprocal of the given number. An inverse function is a mathematical operation that undoes another function, while an inverse is simply the opposite of a given value or operation. However, there are limitations to calculating the exact value of an inverse, such as undefined values and non-terminating decimals.

Feb 20, 2005

trap

cos[ sin^-1 (1/2) + sin^-1 (-1) ]

appreciate any help on this

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Feb 21, 2005

so-crates

cos(a+b) = ?

Feb 21, 2005

trap

ohh, yes, thanks, how dumb i am...

Feb 22, 2005

dextercioby

Science Advisor

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[tex]\arcsin \ \frac{1}{2}=\frac{\pi}{6} [/tex]

[tex]\arcsin \ -1=-\frac{\pi}{2} [/tex]

Add the 2 results and end up with [tex] -\frac{\pi}{3} [/tex]

And then
[tex] \cos \ -\frac{\pi}{3} =\frac{1}{2} [/tex]

Daniel.

Last edited: Feb 22, 2005

What is an inverse?

An inverse is the opposite or reverse of a given value or operation. In math, an inverse is the number that when multiplied by another number, gives a product of 1.

Why do we need to calculate the exact value of an inverse?

Calculating the exact value of an inverse allows us to solve equations and perform other mathematical operations accurately. It is also necessary for finding solutions to real-life problems, such as calculating interest rates or determining the amount of medication to administer.

How do you calculate the exact value of an inverse?

The exact value of an inverse can be calculated by using the reciprocal of the given number. To find the reciprocal, simply flip the numerator and denominator of the fraction or divide 1 by the number. For example, the inverse of 4 is 1/4 or 0.25.

What is the difference between an inverse and an inverse function?

An inverse function is a mathematical operation that undoes another function. It is represented by f^-1(x) and is used to find the original input value when given the output value. An inverse, on the other hand, is the opposite of a given value or operation.

Are there any limitations to calculating the exact value of an inverse?

Yes, there are limitations to calculating the exact value of an inverse. Some numbers, such as 0, do not have an inverse since dividing by 0 is undefined. Additionally, some numbers may have non-terminating decimal values, making it impossible to find the exact value without rounding.