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Math Help - Simplify the expression

  1. #1
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    Simplify the expression

    Simplify the given expression. The result will be one of sin\; x, \;cos\; x,\; tan\; x,\; cot\; x,\; sec\; x,\; or\; csc\; x.

    \frac{Tan\;x\;+\;Cot\;x}{Csc\;x}

    The answer to this one is Sec\;x. I'm kinda confused on how they got it because I ended up with Cos\;x
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by OzzMan View Post
    Simplify the given expression. The result will be one of sin\; x, \;cos\; x,\; tan\; x,\; cot\; x,\; sec\; x,\; or\; csc\; x.

    \frac{Tan\;x\;+\;Cot\;x}{Csc\;x}

    The answer to this one is Sec\;x. I'm kinda confused on how they got it because I ended up with Cos\;x
    Note: \frac {\tan x + \cot x}{\csc x} = \sin x (\tan x + cot x)

    csc(x) = 1/sin(x)

    i suppose you did something like csc(x) = 1/cos(x). happens all the time
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  3. #3
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    Could you help me out with simplifying it? I'm kinda stuck. Can't seem to get Sec x as my answer.
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by OzzMan View Post
    Could you help me out with simplifying it? I'm kinda stuck. Can't seem to get Sec x as my answer.
    \sin x (\tan x + \cot x) = \sin x \tan x + \sin x \cot x = \sin x \cdot \frac {\sin x}{\cos x} + \sin x \cdot \frac {\cos x}{\sin x}

    now simplify the fractions, combine them and continue
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  5. #5
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    Thanks. Very long problem, but I got the right answer.
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