How Do You Solve the Inverse Function Problem Involving sin^(-1)(cos(7π/5))?

In summary, an inverse function is the opposite of a given function, where the input and output values are switched. To find the inverse of a function, the input and output variables are switched and the resulting equation is solved. A function and its inverse are reflections of each other over the line y = x and can "undo" each other. However, not every function has an inverse, as it must pass the horizontal line test. The notation for an inverse function is f<sup>-1</sup>(x), representing the inverse of the original function f(x).
  • #1
Karma
76
0
sin-(cos(7pi/5) (arcsin)

i have the equation (x+n2pi) but don't know where to go from their
 
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  • #2
How did you get x+n2pi?
 
  • #3
f(x + P) = f(x)
the periodic function of cosine is 2pi? no?
 
  • #4
Karma said:
sin-(cos(7pi/5) (arcsin)

i have the equation (x+n2pi) but don't know where to go from their
What you've written makes no sense at all! What do you mean by
"sin-(cos(7pi/5) (arcsin)"?? And what does that have to do with an inverse function?
 

Related to How Do You Solve the Inverse Function Problem Involving sin^(-1)(cos(7π/5))?

What is an inverse function?

An inverse function is a mathematical concept that represents the opposite of a given function. It is essentially a reversal of the original function, where the input and output values are switched.

How do you find the inverse of a function?

To find the inverse of a function, you must first switch the input and output variables. Then, solve for the new output variable in terms of the new input variable. The resulting equation is the inverse function.

What is the relation between a function and its inverse?

A function and its inverse are two mathematical operations that "undo" each other. This means that when you apply the function and its inverse to a value, you will get the original value back. In other words, they are reflections of each other over the line y = x.

Can every function have an inverse?

No, not every function has an inverse. For a function to have an inverse, it must pass the horizontal line test, meaning that each horizontal line intersects the function at most once. If a function fails this test, it does not have an inverse.

What is the notation for writing an inverse function?

The notation for an inverse function is f-1(x). This is read as "f inverse of x" and represents the inverse function of the original function f(x).

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