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Math Help - Adding and simplifying trigonometric expression

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    Senior Member vaironxxrd's Avatar
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    Adding and simplifying trigonometric expression

    I keep having problem with simplification problems...

    My problem is: \frac{6tan(x)}{1+sec(x)}+\frac{6+6sec(x)}{tan(x)}

    The answer given is: 12csc(x) but I cannot reach this answer.

    My attempt is...

    \frac{6tan^2(x)}{tan(x)[1+sec(x)]}+\frac{[1+sec(x)](6+6sec(x))}{tan(x)[1+sec(x)]} =

    \frac{6tan^2(x)}{tan(x)[1+sec(x)]}+\frac{6+12sec(x)+6sec^2(x)}{tan(x)[1+sec(x)]} =

    \frac{6tan^2(x) +6sec^2(x) + 12sec(x)+ 6}{tan(x)[1+sec(x)]} =

    \frac{6(tan^2(x) +sec^2(x) + 2sec(x)+ 1)}{tan(x)[1+sec(x)]} =

    \frac{6(tan^2(x) +sec^2(x) + 2sec(x)+ 1)}{tan(x)[1+sec(x)]} =

    \frac{6(2sec^2(x) + 2sec(x))}{tan(x)[1+sec(x)]}
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  2. #2
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    Re: Adding and simplifying trigonometric expression

    You're very close. Just keep going a little further. See the pdf.
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    Senior Member vaironxxrd's Avatar
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    Re: Adding and simplifying trigonometric expression

    Quote Originally Posted by zhandele View Post
    You're very close. Just keep going a little further. See the pdf.
    Thanks for that detailed set of instructions, I can't understand why can I not complete some simple simplification.
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    Re: Adding and simplifying trigonometric expression

    Your work was quite accurate. Maybe you just got tired near the end. Don't worry about it, it'll be easier next time.
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