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Math Help - Verify the identity:

  1. #1
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    Verify the identity:

    1+cscx - cotx = cosx
    sec x
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  2. #2
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    Express every term with certain trigonometric function (e. g. cos(x))
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  3. #3
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    Quote Originally Posted by tradar View Post
    1+cscx - cotx = cosx
    sec x
    \frac{1+cosec(x)}{sec(x)} = cos(x) + cot(x)

    \frac{1+cosec(x)}{sec(x)} = cos(x)(1+\frac{1}{sin(x)})

    1+cosec(x)= sec(x)cos(x)(1+\frac{1}{sin(x)})

    1+cosec(x)= \frac{1}{cos(x)}cos(x)(1+cosec(x))

    1+cosec(x)= 1+cosec(x)

    QED!
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