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Math Help - inverse trigonometry

  1. #1
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    inverse trigonometry

    i was wondering how I would approach proving this problem
    sin ^-1(x) + cos ^ -1 (x) = pi/2
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  2. #2
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    Re: inverse trigonometry

    You could solve it numerically.

    Or you could take guesses for x. i.e x = \frac{1}{\sqrt{2}}
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  3. #3
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    Re: inverse trigonometry

    WTS:

    \sin^{-1}(x)+\cos^{-1}(x)=\frac{\pi}{2}. True if and only if (assuming all the domains are worked out correctly):

    \sin^{-1}(x)=\frac{\pi}{2}-\cos^{-1}(x), iff

    x=\sin\left(\frac{\pi}{2}-\cos^{-1}(x)\right)=\dots

    Can you see your way forward?
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