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Math Help - Identity Problem

  1. #1
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    Identity Problem

    Hi guys, I'm 14, and was just wondering if anyone could help prove this problem on my homework sheet.

    (1+sec x + tan x)(1 - sec x + tan x) = 2 tan x

    Thanks
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  2. #2
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    Re: Identity Problem

    Quote Originally Posted by HerroDere View Post
    Hi guys, I'm 14, and was just wondering if anyone could help prove this problem on my homework sheet.

    (1+sec x + tan x)(1 - sec x + tan x) = 2 tan x

    Thanks
    start by expanding the left side of the identity ... then use the identity 1 + \tan^2{x} = \sec^2{x} when collecting terms.
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  3. #3
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    Re: Identity Problem

    Quote Originally Posted by HerroDere View Post
    (1+sec x + tan x)(1 - sec x + tan x) = 2 tan x
    Hint: (1+\sec(x) + \tan (x))(1 - \sec (x) + \tan( x))=
    (1+\tan(x))^2-\sec^2(x)
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