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Math Help - Can someone verify this is correct? - Trig proof.

  1. #1
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    Can someone verify this is correct? - Trig proof.

    Hey guys can you verify my logic?

    If asec(x)=1+tan(x)
    and bsec(x)=1-tan (x)
    prove a^2 + b^2 = 2

    a = 1+tan(x) / sec(x)
    a = 1+tan(x) * cos(x)
    a = cos + sin

    b = 1-tan(x) / sec(x)
    b = 1-tan(x) * cos(x)
    b = cos(x) - sin(x)

    (cos(x)+sin(x))^2 + (cos(x)-sin(x))^2

    = 2cos^2(x) + 2sin^2(x) + 2cos(x)sin(x) - 2cos(x)sin(x)
    = 2( cos^2(x) + sin^2(x) )
    = 2(1)
    = 2
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  2. #2
    Super Member
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    Re: Can someone verify this is correct? - Trig proof.

    You are absolutely right. Make use of brackets. for example
    1 - tanx * cos x is not correct you should write ( 1 - tanx ) * cos x
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