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Math Help - Proving

  1. #1
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    Proving

    I'm supposed to prove the question in the attachment.....



    Ive done some steps, but still cannot solve it
    Attached Thumbnails Attached Thumbnails Proving-image.jpg   Proving-image.jpg  
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  2. #2
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    Re: Proving

    Quote Originally Posted by Thorpelizts View Post
    I'm supposed to prove the question in the attachment..... Ive done some steps, but still cannot solve it

    @Thorpelizts
    I am speaking only for myself, but I find the images you post unreadable. As far as I am concerned, until you learn to post your questions and work without images I will not attempt any help.

    Go to the LaTeX forum to learn how to use the code.
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  3. #3
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    Re: Proving

    To be fair Plato, at least the OP has shown some working and is asking for some guidance in the spot where stuck. That is more than most people asking questions do.

    As for the OP, there are a few things you could do to ensure you get more help quicker. First, if you MUST handwrite, please do so legibly. Better, learn some LaTeX, as the site has an inbuilt compiler. The LaTeX sub-forum is a good place to start. It also helps to post your pictures the right way up, as we are unable to rotate them and I find it difficult holding my laptop on an angle or upside down to read them.
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  4. #4
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    Re: Proving

    Hello, Thorpelizts!

    I found a "magic step" which facilitates the proof: . 1 \;=\;\sin^2\!A + \cos^2\!A .[1]


    \text{Prove: }\:\frac{2-\csc^2\!A}{\csc^2\!A + 2\cot A} \;=\;\frac{\sin A - \cos A}{\sin A + \cos A}

    The left side is: . \dfrac{2-\dfrac{1}{\sin^2\!A}}{\dfrac{1}{\sin^2\!A} + \dfrac{2\cos A}{\sin A}}

    Multiply by \tfrac{\sin^2\!A}{\sin^2\!A}\!:\;\;\frac{2\sin^2\!  A - 1}{1 + 2\sin A\cos A}

    Substitute [1]: . \dfrac{2\sin^2\!A - (\sin^2\!A + \cos^2\!A)}{(\sin^2\!A + \cos^2\!A) + 2\sin A\cos A}

    . . . . . . . . . . =\;\dfrac{\sin^2\!A - \cos^2\!A}{\sin^2\!A + 2\sin A\cos A + \cos^2\!A}

    . . . . . . . . . . =\;\dfrac{(\sin A - \cos A)(\sin A + \cos A)}{(\sin A + \cos A)^2}

    . . . . . . . . . . =\;\dfrac{\sin A - \cos A}{\sin A + \cos A}
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    Re: Proving

    [tex]x^2\sqrt{x}[\math]
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  6. #6
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    Re: Proving

    Quote Originally Posted by Plato View Post
    @Thorpelizts
    I am speaking only for myself, but I find the images you post unreadable. As far as I am concerned, until you learn to post your questions and work without images I will not attempt any help...
    I have to say, I generally ignore attached images of hand-written work, especially if they are oriented in any way other than that which I can easily read. So you aren't the only one who feels this way. I know from my discussions with others who help on math sites, that many feel this way too.

    While I do agree that the OP is at least making an attempt to show work, which is more than many do, I just find all but the neatest of handwriting to be more effort to read than I am willing to make.
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