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Math Help - Finding exact values

  1. #1
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    Finding exact values

    a) tan(arctan10)
    b) sin^ -1 (sin(7(pi/3)))

    How should I start ?
    Any tips are greatly appreciated !
    Thanks
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  2. #2
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by letzdiscuss View Post
    a) tan(arctan10)
    b) sin^ -1 (sin(7(pi/3)))

    How should I start ?
    Any tips are greatly appreciated !
    Thanks
    Note that tan and arctan are inverse operations (like + and - are inverse)

    sin^{-1} = arcsin is the inverse of sin

    ie: arcsin(sin(x)) = x
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  3. #3
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    Thank you. But how do I show that arcsin(sin(x)) = x?
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  4. #4
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by letzdiscuss View Post
    I'm sorry but I still don't get it
    Inverse function - Wikipedia, the free encyclopedia

    For your problem you can just take the number as your answer since the operations cancel each other out
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  5. #5
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    Quote Originally Posted by e^(i*pi) View Post
    Inverse function - Wikipedia, the free encyclopedia

    For your problem you can just take the number as your answer since the operations cancel each other out
    Is there a way to show that they cancel out though?
    How do I show the steps in order for full marks
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