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Trig

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Im having serious issues with verifying Trig. identities. Please help! Here is an example:

(tanX-secX)^2= 1-sinX/1+sinX

  • Trig - ,

    (sec x - tanx)^2 = (1-sinx)/(1+sinx)

    use these substitutions
    sin²(x) + cos²(x) = 1
    cos²(x) = 1 - sin²(x)


    (sec(x) - tan(x))²
    =(1/cos(x) - sin(x)/cos(x))²
    = (1-sin(x))² / cos²(x)
    = (1-sin(x))² / (1 - sin²(x))
    = (1-sin(x))² / [(1+sin(x))(1-sin(x))]
    = (1-sin(x)) / (1+sin(x))

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