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Math Help - Why the equation sin^-1(x)= cos^-1(2) cannot have a solution?

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    Why the equation sin^-1(x)= cos^-1(2) cannot have a solution?

    Why the equation sin^-1(x)= cos^-1(2) cannot have a solution?



    (sin expontial -1) x = (cos exponential -1)2
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    Quote Originally Posted by darkmoon123 View Post
    Why the equation sin^-1(x)= cos^-1(2) cannot have a solution?



    (sin expontial -1) x = (cos exponential -1)2
    \cos^{-1}(2) does not have a real value.
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    Quote Originally Posted by darkmoon123 View Post
    Why the equation sin^-1(x)= cos^-1(2) cannot have a solution?
    The cosine outputs values only between -1 and +1. The inverse-cosine function can take inputs only between -1 and +1.

    As such, the right-hand side of your equation is without mathematical meaning, which makes the entire equation nonsensical, and thus unsolveable.

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