Trig

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Solve in terms of sine and cosine:

sec(x) csc(x)- sec(x) sin(x)



so far I have:
1/cos(x) 1/sin(x) - 1/cos(x) sin(x)

I am not sure where to go to from there. The book says the answer is cot(x) or cos(x)/sin(x)

Thank you in advance.

  • Trig -

    sec(x) csc(x)- sec(x) sin(x)
    = (1/cos x)(1/sinx) - sinx/cosx
    = [(1/sinx)-sinx]/cos x
    = [1 - sin^2x]/(sin x cos x)
    = cos^2 x/(sin x cos x)
    = cosx/sinx = cot x

  • Trig -

    Dang, I see where I messed up. Thank you so much.

  • Trig -

    whoops, sorry everyone. The original message was supposed to be a reply to another post.

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