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    monica1993's Avatar
    monica1993 Posts: 1, Reputation: 1
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    #1

    Dec 13, 2011, 06:28 PM
    proving trigonometric identities?
    how would you prove csc(x)-sin(x)=cot(x)/sec(x) ?
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #2

    Dec 14, 2011, 04:06 AM
    Convert everything on the left to sine and cosine ratios first, then combine the fractions.
    Kahani Punjab's Avatar
    Kahani Punjab Posts: 510, Reputation: 203
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    #3

    Dec 14, 2011, 05:22 AM
    Monika (born in) 1993,

    Did you try to convert everything on the left to sine and cosine ratios and did you then combine the fractions?

    What was the result? Waiting to see what you found?
    See

    cosec(x)-sin(x)=cot(x)/sec(x)
    1/sin x - sinx = cos x/sin x.sec x
    (1 - sin ~2 x )/ sin x = cos~2 x / sin x
    But, we know that 1 - sin ~2 x = cos ~2 x
    Hence the result. Does it help?
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