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How is the domain of a trigonometric function restricted so that its inverse function is defined?

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The graph of f(x)=cosx [                      ] . Therefore, a domain restriction must be placed on the function for the inverse function to be defined. The domain restriction placed on f(x)=cosx  is [                       ] so that its inverse function is defined.

 

- does not pass the vertical line test 

- does not pass the horizontal line test

- is one to one

- (-pi/2, pi/2)

- (0, pi/2)

- (0, pi)

- [-pi/2, pi,2]

- [0,pi/2]

- [0, pi]

 May 1, 2020
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The graph of f(x)=cosx [does not pass the horizontal line test] . Therefore, a domain restriction must be placed on the function for the inverse function to be defined. The domain restriction placed on f(x)=cosx  is [          [0, pi]             ] so that its inverse function is defined.

 May 1, 2020

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