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    prove that [(sin x)/ (1 +cos x)] +[(1 + cos x) /sin x ] = 2/sin x
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    (Original post by man111111)
    prove that [(sin x)/ (1 +cos x)] +[(1 + cos x) /sin x ] = 2/sin x
    What have you tried so far? Try getting them under a common denominator.
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    (Original post by Zacken)
    What have you tried so far? Try getting them under a common denominator.
    I don't know how to make the denominators the same
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    (Original post by man111111)
    I don't know how to make the denominators the same
    \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}
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    Multiply the \frac {\sin{x} } {1+ \cos{x}} by  \frac {1- \cos{x} } {1- \cos{x}} and use the identity \sin^2 {x} + \cos^2 {x}=1
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    (Original post by man111111)
    prove that [(sin x)/ (1 +cos x)] +[(1 + cos x) /sin x ] = 2/sin x
    \frac{sin{x}}{1+cos{x}}+\frac{1+  cos{x}}{sin{x}}

    Try putting it over a common denominator of sin{x}(1+cos{x})

    Then use cos^2{x}+sin^2{x}=1 and cancel.
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    I see. I was correcting the mistake I made in the picture I attached. Thanks for both solutions

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    Hi, it is against the maths forum rules to post full solutions so all full solutions have been removed from this thread.

    Please see the posting guide for more information.
 
 
 
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