Trig

(tan/cot)- (sec/ cos)
Also I need help with tan sin +cos = sec

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  1. retype in proper form.
    Are we solving or proving an identity?

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  2. tan = sin(x)/cos(x)
    cot = cos(x)/sin(x)
    sec = 1/cos(x)
    (sin(x))^2 + (cos(x))^2 = 1

    tan(x)/cot(x) - sec(x)/cos(x)
    = (sin(x))^2/(cos(x))^2 - 1/(cos(x))^2
    = ((sin(x))^2-1)/(cos(x))^2
    = (cos(x))^2/(cos(x)^2) = 1

    tan(x).sin(x) + cos(x)
    = (sin(x))^2/cos(x) + cos(x)
    = ((sin(x))^2 + (cos(x))^2)/cos(x)
    = 1/cos(x) = sec(x)

    Hope this helps!

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  3. Proving it!(:

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